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Question

Factorize the equation a2−81(b−c)2

A
(a+9b9c)(a9b)
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B
(a+9b+c)(a9b+9c)
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C
(a9b9c)(a9b+9c)
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D
(a+9b9c)(a9b+9c)
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Solution

The correct option is D (a+9b9c)(a9b+9c)
a281(bc)2
Using,
a2b2=(a+b)(ab)
=[a+9(bc)][a9(bc)]
=(a+9b9c)(a9b+9c)

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