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Question -

Factorise the following expressions.
(i) 7x – 42
(ii) 6p – 12q

(iii) 7a2 + 14a
(iv) -16z + 20z
3
(v) 20l
2m + 30alm
(vi) 5x
2y – 15xy2
(vii) 10a
2 – 15b2 + 20c2
(viii) -4a
2 + 4ab – 4ca
(ix) x
2yz + xy2z + xyz2
(x) ax
2y + bxy2 + cxyz



Answer -

(i) 7x – 42 = 7(x – 6)
(ii) 6p – 12q = 6(p – 2q)
(iii) 7a
2 +14a = 7a(a + 2)
(iv) -16z + 20z
3 =4z(-4 + 5z2)
(v) 20l
2m +30alm = 10lm(2l + 3a)
(vi) 5x
2y – 15xy2 = 5xy(x – 3y)
(vii) 10a
2 –15b2 +20c2 =5(2a2 –3b2 +4c2)
(viii) -4a
2 +4ab – 4ca = 4a(-a + b – c)
(ix) x
2yz + xy2z + xyz2 =xyz(x + y + z)
(x) ax
2y + bxy2 + cxyz = xy(ax + by + cz)

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