Question

Factorise:
1.2xsquare-ysquare
2.8xcube-27ycube​

Answer 1

$\textit{\large{\pink{\underline{\underline{Answer:-}}}}}$

$1.)2x {}^{2} - y {}^{2} \\ = ( \sqrt{2} x) {}^{2} - y {}^{2} \\ = ( \sqrt{2} x + y)( \sqrt{2} x - y) \\ 2.)8x {}^{3} - 27y {}^{3} \\ = ({2x})^{3} - {(3y)}^{3} \\ = (2x - 3y)((2x) {}^{2} + {(3y)}^{2} + 6xy)$

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