Question

Factorise the following x^2^y^2-64

Answer 1

(xy)^2-64 = (xy-8)(xy+8)

Answer 2

Hey mate here we go

${x}^{2} {y}^{2} - 64 = ( {xy)}^{2} - 64 \\ ({xy)}^{2} - {8}^{2} = {a}^{2} - {b}^{2} \\ i.e \: {a}^{2} - {b}^{2} = ( a+ b)( a - b ) \\ {x}^{2} {y }^{2} - 64 = (xy + 8)(xy - 8)$

I hope this will help you

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