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Question

Factorise each of the following expression:
(i) a3x+a2(xy)a(y+z)z
(ii) (x2+3x)25(x2+3x)y(x2+3x)+5y.

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Solution

(i) We have,
a3x+a2(xy)a(y+z)z
=a3x+a2xa2yayazz
=(a3x+a2x)(a2y+ay)(az+z)
=a2x(a+1)ay(a+1)z(a+1)
=(a+1)(a2xayz)

(ii) We have
(x2+3x)25(x2+3x)y(x2+3x)+5y
=(x2+3x){(x2+3x)5}y{(x2+3x)5}=(x2+3x5)(x2+3xy

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