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Question -

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

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



Answer -

(i) 7x тАУ 42 = 7(x тАУ 6)
(ii) 6p тАУ 12q = 6(p тАУ 2q)
(iii) 7a
2┬а+14a = 7a(a + 2)
(iv) -16z + 20z
3┬а=4z(-4 + 5z2)
(v) 20l
2m +30alm = 10lm(2l + 3a)
(vi) 5x
2y тАУ 15xy2┬а= 5xy(x тАУ 3y)
(vii) 10a
2┬атАУ15b2┬а+20c2┬а=5(2a2┬атАУ3b2┬а+4c2)
(viii) -4a
2┬а+4ab тАУ 4ca = 4a(-a + b тАУ c)
(ix) x
2yz + xy2z + xyz2┬а=xyz(x + y + z)
(x) ax
2y + bxy2┬а+ cxyz = xy(ax + by + cz)

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