Question

x³y³-1 factorize fastly

Answer 1

$x {}^{3} y {}^{3} - 1 = (xy) {}^{3} -( 1) {}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (xy - 1)[(xy ){}^{2} + xy + (1) {}^{2}] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (xy - 1)(x {}^{2} y {}^{2} + xy + 1)$
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Answer 2

Answer is given below

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