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- Cubes and Cube Roots
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NCERT Solutions Class 8 Mathematics Solutions for Exercise 14.1 in Chapter 14 - Factorisation
Q1) Find the common factors of the given terms.
(i) 12x, 36
(ii) 2y, 22xy
(iii) 14\ pq,\ 28p^2q^2
(iv) 2x,3x^2,\ 4
(v) 6abc,\ 24ab^2,\ 12a^2b
(vi) 16x^3,\ -4x^2,\ 32x
(vii) 10\ pq,\ 20qr,\ 30rp
(viii) 3x^2y^3,\ 10x^3y^2,\ 6x^2y^2z
Solution 1:
(i) 12x\ =\ 12\times x
36\ =\ 12\times3
common factor = 12
(ii) 2y=2\times y
22xy=\ 2\times11\times x\times y
common factor = 2,y
(iii) 14\ pq\ =\ p\times q\times7\times2
28p^2q^2\ =\ 2\times2\times7\times p\times p\times q\times q
Common factor =7\times2\times p\times q\ =14pq
(iv) 2x=\ 2\times x\times1
3\times x\times x\times1
4=\ 2\times2\times1
common factor =1
(v) 6abc\ =\ 2\times3\times a\times b\times c
24\ ab^2\ =\ 2\times3\times4\times a\times b\times b
12a^2b\ =2\times2\times3\times a\times a\times b
Common factor = 2\times3\times a\times b\ =\ 6ab
(vi) 16x^{3\ }=\ 2\times2\times2\times2\times x\times x\times x
-4x^2=\ 2\times2\times x\times x\times\left(-1\right)
32x\ =\ 2\times2\times2\times2\times2\times2\times x
common factor = 2\times2\times x\ =4x
(vii) 10pq=2\times5\times p\times q
20qr\ =\ 2\times2\times5\times q\times r
30rp\ =\ 3\times2\times5\times r\times p
common factor = 2\times5=10
(viii) 3x^2y^2=\ 3\times x\times x\times y\times y\times y
10x^3y^2=\ 2\times5\times x\times x\times x\times y\times y
6x^2y^2z\ =\ 2\times3\times x\times x\times y\times y\times z
common factor = x^2y^2
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