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Question

((5z2)2+40z)(5z+2) =

A
2z+5
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B
(5z2)2
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C
5z2
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D
5z+2
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Solution

The correct option is D 5z+2
Given,(5z2)2+40z
[We know, (ab)2=a22ab+b2]
25z220z+4+40z
25z2+20z+4

Factorizing, 25z2+20z+4
(5z)2+2×5z ×2+22
[We know, (a+b)2=a2+2ab+b2]
25z2+20z+4=(5z+2)2
(5z2)2+40z=(5z+2)2

So, ((5z2)2+40z)(5z+2)=(5z+2)2(5z+2)
=5z+2

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