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Question

Factorise a416 is ____

A
(a2)(a+2)(a2+4)
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B
(a22)(a+2)(a2+2)
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C
(a22)(a2+2)(a2+2)
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D
(a+11)(2a+12)(a212)
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Solution

The correct option is A (a2)(a+2)(a2+4)
a416
We know a2b2=(a+b)(ab)
a416=(a2)2(22)2
(a2)2(4)2=(a2+4)(a4)
Factorizing further
(a2+4)(a24)=(a2+4)(a2)(a+2)

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