R d sharma solutions mathematics class 8 Solutions for Chapter 7 factorization

Find the greatest common factor (GCF/HCF) of the following polynomials:

2x^2and12x^2

Find the greatest common factor (GCF/HCF) of the following polynomials:

6x^3y\ and\ 18x^2y^3

Find the greatest common factor (GCF/HCF) of the following polynomials:

42x^2yz\ and\ 63x^3y^2z^3

Find the greatest common factor (GCF/HCF) of the following polynomials:

12ax^2a^2x^3and2a^3x

Find the greatest common factor (GCF/HCF) of the following polynomials:

9x^2,15x^2y^3,6xy^2and21x^2y^2

Find the greatest common factor (GCF/HCF) of the following polynomials:

4a^2b^3,-12a^3b,18a^4b^3

Find the greatest common factor (GCF/HCF) of the following polynomials:

6x^2y^2,9xy^3,3x^3y^2

Find the greatest common factor (GCF/HCF) of the following polynomials:

a^2b^3,a^3b^2

Find the greatest common factor (GCF/HCF) of the following polynomials:

36a^2b^2c^4,54a^5c^2,90a^4b^2c^2

Find the greatest common factor (GCF/HCF) of the following polynomials:

x^3,-yx^2

Find the greatest common factor (GCF/HCF) of the following polynomials:

15a^3,-45a^2,-150a

Find the greatest common factor (GCF/HCF) of the following polynomials:

2x^3y^2,10x^2y^3,14xy

Find the greatest common factor (GCF/HCF) of the following polynomials:

14x^3y^5,10x^5y^3,2x^2y^2

Find the greatest common factor of the terms in each of the following expressions:

5a⁴ + 10a³ – 15a²

Find the greatest common factor of the terms in each of the following expressions:

2xyz + 3x²y + 4y²

Find the greatest common factor of the terms in each of the following expressions:

3a²b² + 4b²c² + 12a²b²c²

Factorize the following:

3x – 9

Factorize the following:

5x – 15x²

Factorize the following:

20a¹²b² – 15a⁸b⁴

Factorize the following:

72x⁶y⁷ – 96x⁷y⁶

Factorize the following:

20x³ – 40x² + 80x

Factorize the following:

2x³y² – 4x²y³ + 8xy⁴

Factorize the following:

10m³n² + 15m⁴n – 20m²n³

Factorize the following:

2a⁴b⁴ – 3a³b⁵ + 4a²b⁵

Factorize the following:

28a² + 14a²b² – 21a⁴

Factorize the following:

a⁴b – 3a²b² – 6ab³

Factorize the following:

21²mn – 3lm²n + 4lmn²

Factorize the following:

x⁴y² – x²y⁴ – x⁴y⁴

Factorize the following:

9x²y + 3axy

Factorize the following:

16m – 4m²

Factorize the following:

-4a² + 4ab – 4ca

Factorize the following:

x²yz + xy²z + xyz²

Factorize the following:

ax²y + bxy² + cxyz

Factorize each of the following algebraic expressions:

6x (2x – y) + 7y (2x – y)

Factorize each of the following algebraic expressions:

2r (y – x) + s (x – y)

Factorize each of the following algebraic expressions:

7a (2x – 3) + 3b (2x – 3)

Factorize each of the following algebraic expressions:

9a (6a – 5b) – 12a² (6a – 5b)

Factorize each of the following algebraic expressions:

5 (x – 2y)² + 3 (x – 2y)

Factorize each of the following algebraic expressions:

16 (2l – 3m)² – 12 (3m – 2l)

Factorize each of the following algebraic expressions:

3a (x – 2y) – b (x – 2y)

Factorize each of the following algebraic expressions:

a² (x + y) + b² (x + y) + c² (x + y)

Factorize each of the following algebraic expressions:

(x – y)² + (x – y)

Factorize each of the following algebraic expressions:

6 (a + 2b) – 4 (a + 2b)²

Factorize each of the following algebraic expressions:

a (x – y) + 2b (y – x) + c (x – y)²

Factorize each of the following algebraic expressions:

-4 (x – 2y)² + 8 (x – 2y)

Factorize each of the following algebraic expressions:

x³ (a – 2b) + x² (a – 2b)

Factorize each of the following algebraic expressions:

(2x – 3y) (a + b) + (3x – 2y) (a + b)

Factorize each of the following algebraic expressions:

4(x + y) (3a – b) + 6(x + y) (2b – 3a)

Factorize each of the following expressions:

qr – pr + qs – ps

Factorize each of the following expressions:

p²q – pr² – pq + r²

Factorize each of the following expressions:

1 + x + xy + x²y

Factorize each of the following expressions:

ax + ay – bx – by

Factorize each of the following expressions:

xa² + xb² – ya² – yb²

Factorize each of the following expressions:

x² + xy + xz + yz

Factorize each of the following expressions:

2ax + bx + 2ay + by

Factorize each of the following expressions:

ab – by – ay + y²

Factorize each of the following expressions:

axy + bcxy – az – bcz

Factorize each of the following expressions:

lm² – mn² – lm + n²

Factorize each of the following expressions:

x³ – y² + x – x²y²

Factorize each of the following expressions:

6xy + 6 – 9y – 4x

Factorize each of the following expressions:

x² – 2ax – 2ab + bx

Factorize each of the following expressions:

x³ – 2x²y + 3xy² – 6y³

Factorize each of the following expressions:

abx² + (ay – b) x – y

Factorize each of the following expressions:

(ax + by)² + (bx – ay)²

Factorize each of the following expressions:

16 (a – b)³ – 24 (a – b)²

Factorize each of the following expressions:

ab (x² + 1) + x (a² + b²)

Factorize each of the following expressions:

a²x² + (ax² + 1)x + a

Factorize each of the following expressions:

a (a – 2b – c) + 2bc

Factorize each of the following expressions:

a (a + b – c) – bc

Factorize each of the following expressions:

x² – 11xy – x + 11y

Factorize each of the following expressions:

ab – a – b + 1

Factorize each of the following expressions:

x² + y – xy – x

Factorize each of the following expressions:

16x² – 25y²

Factorize each of the following expressions:

27x² – 12y²

Factorize each of the following expressions:

144a² – 289b²

Factorize each of the following expressions:

12m² – 27

Factorize each of the following expressions:

125x² – 45y²

Factorize each of the following expressions:

144a² – 169b²

Factorize each of the following expressions:

(2a – b)² – 16c²

Factorize each of the following expressions:

(x + 2y)² – 4 (2x – y)²

Factorize each of the following expressions:

3a⁵ – 48a³

Factorize each of the following expressions:

a⁴ – 16b⁴

Factorize each of the following expressions:

x⁸ – 1

Factorize each of the following expressions:

64 – (a + 1)²

Factorize each of the following expressions:

36l² – (m + n)²

Factorize each of the following expressions:

25x⁴y⁴ – 1

Factorize each of the following expressions:

a⁴ – 1/b⁴

Factorize each of the following expressions:

x³ – 144x

Factorize each of the following expressions:

(x – 4y)² – 625

Factorize each of the following expressions:

9 (a – b)² – 100 (x – y)²

Factorize each of the following expressions:

(3 + 2a)² – 25a²

Factorize each of the following expressions:

(x + y)² – (a – b)²

Factorize each of the following expressions:

1/16x²y² – 4/49y²z²

Factorize each of the following expressions:

75a³b² – 108ab⁴

Factorize each of the following expressions:

x⁵ – 16x³

Factorize each of the following expressions:

50/x² – 2x²/81

Factorize each of the following expressions:

256x³ – 81x

Factorize each of the following expressions:

a⁴ – (2b + c)⁴

Factorize each of the following expressions:

(3x + 4y)⁴ – x⁴

Factorize each of the following expressions:

p²q² – p⁴q⁴

Factorize each of the following expressions:

3x³y – 24xy³

Factorize each of the following expressions:

a⁴b⁴ – 16c⁴

Factorize each of the following expressions:

x⁴ – 625

Factorize each of the following expressions:

x⁴ – 1

Factorize each of the following expressions:

49(a – b)² – 25(a + b)²

Factorize each of the following expressions:

x – y – x² + y²

Factorize each of the following expressions:

16(2x – 1)² – 25y²

Factorize each of the following expressions:

4(xy + 1)² – 9(x – 1)²

Factorize each of the following expressions:

(2x + 1)² – 9x⁴

Factorize each of the following expressions:

x⁴ – (2y – 3z)²

Factorize each of the following expressions:

a⁴ – b² + a – b

Factorize each of the following expressions:

16a⁴ – b⁴

Factorize each of the following expressions:

a⁴ – 16(b – c)⁴

Factorize each of the following expressions:

2a⁴ – 32a

Factorize each of the following expressions:

a⁴b⁴ – 81c⁴

Factorize each of the following expressions:

xy⁹ – yx⁹

Factorize each of the following expressions:

x³ – x

Factorize each of the following expressions:

18a²x² – 32

Factorize each of the following algebraic expressions:

4x² + 12xy + 9y²

Factorize each of the following algebraic expressions:

9a² – 24ab + 16b²

Factorize each of the following algebraic expressions:

p²q² – 6pqr + 9r²

Factorize each of the following algebraic expressions:

36a² + 36a + 9

Factorize each of the following algebraic expressions:

a² + 2ab + b² – 16

Factorize each of the following algebraic expressions:

9z² – x² + 4xy – 4y²

Factorize each of the following algebraic expressions:

16 – a⁶ + 4a³b³ – 4b⁶

Factorize each of the following algebraic expressions:

a² – 2ab + b² – c²

Factorize each of the following algebraic expressions:

x² + 2x + 1 – 9y²

Factorize each of the following algebraic expressions:

a² + 4ab + 3b²

Factorize each of the following algebraic expressions:

96 – 4x – x²

Factorize each of the following algebraic expressions:

a⁴ + 3a² + 4

Factorize each of the following algebraic expressions:

4x⁴ + 1

Factorize each of the following algebraic expressions:

4x⁴ + y⁴

Factorize each of the following algebraic expressions:

(x + 2)⁴ – 6(x + 2) + 9

Factorize each of the following algebraic expressions:

25 – p² – q² – 2pq

Factorize each of the following algebraic expressions:

x² + 9y² – 6xy – 25a²

Factorize each of the following algebraic expressions:

49 – a² + 8ab – 16b²

Factorize each of the following algebraic expressions:

a² – 8ab + 16b² – 25c²

Factorize each of the following algebraic expressions:

x² – y² + 6y – 9

Factorize each of the following algebraic expressions:

25x² – 10x + 1 – 36y²

Factorize each of the following algebraic expressions:

a² – b² + 2bc – c²

Factorize each of the following algebraic expressions:

a⁴ + 2b + b² – c²

Factorize each of the following algebraic expressions:

49 – x² – y² + 2xy

Factorize each of the following algebraic expressions:

a² + 4b² – 4ab – 4c²

Factorize each of the following algebraic expressions:

x² – y² – 4xz + 4z²

Factorize each of the following algebraic expressions:

x² + 12x – 45

Factorize each of the following algebraic expressions:

40 + 3x – x²

Factorize each of the following algebraic expressions:

a² + 3a – 88

Factorize each of the following algebraic expressions:

a² – 14a – 51

Factorize each of the following algebraic expressions:

x² + 14x + 45

Factorize each of the following algebraic expressions:

x² – 22x + 120

Factorize each of the following algebraic expressions:

x² – 11x – 42

Factorize each of the following algebraic expressions:

a² + 2a – 3

Factorize each of the following algebraic expressions:

a² + 14a + 48

Factorize each of the following algebraic expressions:

x² – 4x – 21

Factorize each of the following algebraic expressions:

y² + 5y – 36

Factorize each of the following algebraic expressions:

(a² – 5a)² – 36

Factorize each of the following algebraic expressions:

(a + 7) (a – 10) + 16

Resolve each of the following quadratic trinomials into factors:

2x² + 5x + 3

Resolve each of the following quadratic trinomials into factors:

2x² – 3x – 2

Resolve each of the following quadratic trinomials into factors:

3x² + 10x + 3

Resolve each of the following quadratic trinomials into factors:

7x – 6 – 2x²

Resolve each of the following quadratic trinomials into factors:

7x² – 19x – 6

Resolve each of the following quadratic trinomials into factors:

28 – 31x – 5x²

Resolve each of the following quadratic trinomials into factors:

3 + 23y – 8y²

Resolve each of the following quadratic trinomials into factors:

11x² – 54x + 63

Resolve each of the following quadratic trinomials into factors:

7x – 6x² + 20

Resolve each of the following quadratic trinomials into factors:

3x² + 22x + 35

Resolve each of the following quadratic trinomials into factors:

12x² – 17xy + 6y²

Resolve each of the following quadratic trinomials into factors:

6x² – 5xy – 6y²

Resolve each of the following quadratic trinomials into factors:

6x² – 13xy + 2y²

Resolve each of the following quadratic trinomials into factors:

14x² + 11xy – 15y²

Resolve each of the following quadratic trinomials into factors:

6a² + 17ab – 3b²

Resolve each of the following quadratic trinomials into factors:

36a² + 12abc – 15b²c²

Resolve each of the following quadratic trinomials into factors:

15x² – 16xyz – 15y²z²

Resolve each of the following quadratic trinomials into factors:

(x – 2y)² – 5 (x – 2y) + 6

Resolve each of the following quadratic trinomials into factors:

(2a – b)² + 2 (2a – b) – 8

Factorize each of the following quadratic polynomials by using the method of completing the square:

p² + 6p + 8

**Factorize each of the following quadratic polynomials by using the method of

completing the square:**

q² – 10q + 21

Factorize each of the following quadratic polynomials by using the method of completing the square:

4y² + 12y + 5

Factorize each of the following quadratic polynomials by using the method of completing the square:

p² + 6p – 16

Factorize each of the following quadratic polynomials by using the method of completing the square:

x² + 12x + 20

Factorize each of the following quadratic polynomials by using the method of completing the square:

a² – 14a – 51

Factorize each of the following quadratic polynomials by using the method of completing the square:

a² + 2a – 3

Factorize each of the following quadratic polynomials by using the method of completing the square:

4x² – 12x + 5

Factorize each of the following quadratic polynomials by using the method of completing the square:

y² – 7y + 12

Factorize each of the following quadratic polynomials by using the method of completing the square:

z² – 4z – 12