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Question

Factorize :
8(a+1)2+2(a+1)(b+2)15(b+2)2

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Solution

8(a+1)2+2(a+1)(b+2)15(b+2)2
Let a+1=x and b+2=y. Then,
8x2+2xy15y2
=8x2+12xy10xy15y2
=4x(2x+3y)5y(2x+3y)
=(2x+3y)(4x5y)
=(2a+3b+8)(4a5b6)

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