# NCERT Solutions Class 8 Mathematics Solutions for Exercise 14.1 in Chapter 14 - Factorisation

Question 3 Exercise 14.1

Q2) Factorise the following expressions.

(i) 7x – 42

(ii) 6p – 12q

(iii) 7a^2+14a\

(iv) -16z\ +20z^3

(v) 20l^2m+30alm

(vi) 5x^2y\ -\ 15xy^2

(vii) 10a^2-15b^2+20c^2

(viii) -4a^2+4ab-4ca

(ix) x^2yz+xy^2z+xyz^2

(x) ax^2y+bxy^2+cxyz

Solution 2:

(i) 7\times x-7\times6

7\left(x-6\right)

(ii) 6\times p-12\times6\times q

6\left(p-2q\right)

(iii) 7\times a\times a\ -7\times2\times a

7a\left(a+2\right)

(iv) \left(-1\right)\times2\times2\times2\times2\times z\ +\ 2\times2\times5\times z\times z\times z

2\times2\times z\ \left[\left(-1\right)\times2\times2+\left(5\times z\times z\right)\right]

4z\left(-4+5z^2\right)

(v) 2\times2\times5\times l\times l\times m\ +2\times3\times5\times a\times l\times m

2\times2\times z\left[\left(1\right)\times2\times2+\left(5\times z\times z\right)\right]

4z\left(-4+5z^2\right)

(vi) 5\times x\times x\times y-3\times5\times x\times y\times y

5\times x\times y\ \left(x-3\times y\right)

5xy\left(x-3y\right)

(vii) 2\times5\times a\times a\ -3\times5\times b\times b\ +\ 2\times2\times5\times c\times c

5\left(2\times a\times a-3\times b\times b+2\times2\times c\times c\right)

5\left(2a^2-3b^2+4c^2\right)

(viii) \left(-1\right)\times2\times2\times a\times a+2\times2\times a\times b-2\times2\times c\times a

2\times2\times a\left[\left(-1\right)\times a+b-c\right]

4a\left(-a+b-c\right)

(ix) x\times x\times y\times z\ +\ x\times y\times y\times z\ +\ x\times y\times z\times z

x\times y\times z\left(x+y+z\right)

xyz\left(x+y+z\right)

(x) a\times x\times x\times y\ +\ b\times x\times y\times y\ +c\times x\times y\times z

xy\ \left(a\times x+b\times y+c\times z\right)

xy\left(ax+by+cz\right)

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