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Question

Find the following products : (x2+2y)(x24xy+4y2)

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Solution

(x2+2y)(x24xy+4y2)

=(x2+2y){(x2)2x2×2y+(2y)2}

=(x2)3+(2y)3 [(a+b)(a2ab+b2)=a3+b3]

=x38+8y3

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