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Question

Factorise each of the following
8p3125p2+625p1125

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Solution

8p3125p2+625p1125
=(2p)33(2p)2(15)+3(2p)(15)2(15)3
We know that x33x2y+3xy2y3=(xy)3
Compair both we get
(2p)33(2p)2(15)+3(2p)(15)2(15)3
=(2p15)3

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