Question

Factorise a^4+2a^3b+a^2b^2-9b^4

Answer 1

By using the identity a2 - b2 = (a+b)(a-b)

=a^3(a+2b) + (ab)^2 -(3b^2)^2

=a^3(a+2b)+(ab+3b^2)(ab-3b)^2

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