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Question

Factorise: (a2+b24c2)24a2b2

A
(a2+b2+4c22ab)(a2+b2+4c2+2ab)
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B
(a2+b24c22ab)2
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C
(a2+b24c22ab)(a2+b24c2+2ab)
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D
(a2b24c22ab)(a2b24c2+2ab)
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Solution

The correct option is C (a2+b24c22ab)(a2+b24c2+2ab)
(a2+b24c2)24a2b2
= (a2+b24c2)2(2ab)2
[a2b2=(a+b)(ab)]
=(a2+b24c22ab)(a2+b24c2+2ab)

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