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Question

Factorize the expression: 125(a+b)2


A
(1-5a-5b)(1+5a-5b)
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B
(1-5a-5b)(1+5a+5b)
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C
(1+5a+5b)(1+5a+5b)
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D
(1-5a-5b)(1-5a-5b)
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Solution

The correct option is B (15a5b)(1+5a+5b)

The given expression is125(a+b)2, which can be written as,

=12[5(a+b)]2

Using the identity x2y2=(x+y)(xy)

=(1[5(a+b)])(1+[5(a+b)])

=(15a5b)(1+5a+5b)


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