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Question

Factorise a6b6

A
(a+b)(ab)(a2+b2+a2b2)
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B
(ab)(ab)(a4+b2+a2b2)
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C
=(a+b)(ab)(a4+b4+a2b2)
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D
(a+b)(ab)(a4+b4+ab)
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Solution

The correct option is C =(a+b)(ab)(a4+b4+a2b2)
a6b6
=(a2)3(b2)3
{a3b3=(ab)(a2+b2+ab)}
=(a2b2)((a2)2+(b2)2+a2b2)
{a2b2=(a+b)(ab) }
=(a+b)(ab)(a4+b4+a2b2)

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