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Question

Factorise x6−y6.

A
(x+y)(xy)(x2xy+y2)(x2+xy+y2)
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B
(x+y)(xy)(x2xy+y2)(x2xyy2)
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C
(x+y)(xy)(x2+xy+y2)(x2xyy2)
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D
(x+y)(xy)(x2+xy+y2)(x2+xy+y2)
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Solution

The correct option is C (x+y)(xy)(x2xy+y2)(x2+xy+y2)
x6y6=(x3+y3)(x3y3)=(x+y)(x2xy+y2)(xy)(x2+xy+y2)
a2b2=(a+b)(ab)
a3+b3=(a+b)(a2ab+b2) a3b3=(ab)(a2+ab+b2)

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