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Question

Factorise
a31a32a+2a

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Solution

we already know that x3y3=(xy)(x2+xy+y2)

So we'll use this identity and then we're left with

(a - \frac{1}{a} )( {a}^{2} + 1 + {1/a}^{2} ) - 2(a - \frac{1}{a} ) \\ =( a - \frac{1}{a})( {a}^{2} + 1 + {1/a}^{2} - 2)


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