Question

Factorise 9-a^6+2a^3 x b^3-b^6




pls answer it ​

Answer 1

$\large\fbox\red{Answer}$

$\sf\:=9-a^{6}+2a^{3}b^{3}-b^{6}\:$

$\sf\:=9-(a^{6}-2a^{3}b^{3}+b^{6})\:$

$\sf\:=3^{2}-[(a^{3})^{2}-2a^{3}b^{3}+(b^{3})^{2}]\:$

$\sf\:=3^{2}-(a^{3}-b^{3})^{2}\:$

$\sf\:=[3-(a^{3}-b^{3})][3+(a^{3}-b^{3})]\:$

$i \: have \: used \: two \: formulae \\ \\ 1) \: {(a - b)}^{2} \\ \\ = {a}^{2} - 2ab + {b}^{2} \\ \\ and \: 2) \: {a}^{2} - {b}^{2} \\ \\ = (a + b)(a - b)$

Thnku ❣

Answer 2

Answer:

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