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Question

Factorise:

a6b6


Solution

We know a3b3=(ab)(a2+ab+b2)a6b6=(a2)3(b2)3=(a2b2)((a2)2+(a2)×(b2)+(b2)2)=(a2b2)(a4+a2b2+b4)=(a+b)(ab)(a4+a2b2+b4)


Mathematics
Concise Mathematics
Standard IX

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