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Question

Using the identity (x+a)(x+b)=x2+(a+b)x+ab, find the value of (2x+4y)(2x4y)

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Solution

WE need to factorise (2x+4y)(2x4y)
Given identity is (x+a)(x+b)=x2+(a+b)x+ab
Here x=2x,a=b=4y
Thus we have (2x+4y)(2x4y)=(2x)2+(4y4y)+(4y)(4y)=4x216y2

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