Question

factorise:
$63 {x}^{5} {y}^{6} - 99 {x}^{7} {y}^{7}$
With steps​

Answer 1

★GIVEN:-

$\implies \: 63x {}^{5}y {}^{6} - 99x {}^{7} y {}^{7}$

★find:-

• given polynomial factories

SOLUTION:-

$\implies \: 63x {}^{5} y {}^{6} - 99x {}^{7}y {}^{7}$

$TAKE \: COMMON \: \: \: \: \: \: \: \pink {9x {}^{5}y {}^{6} }$

$\implies \: 9x {}^{5}y {}^{6}(7 - 11x {}^{2}y)$

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answer

$\implies \star \pink{9x {}^{5}y {}^{6} }(7 - 11x {}^{2}y )$

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additional information:-

$\implies \: (a + b) {}^{2} = a {}^{2} + b {}^{2} + 2 ab \\ \\ \implies \: (a - b) {}^{2} = a {}^{2} + b {}^{2} - 2ab \\ \\ \implies \: a {}^{2} - b {}^{2} = (a + b)(a - b)$

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I hope it helps you