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Factors of Algebraic Expressions and Factorisation

Factorise the...

Question

Factorise the following expression-
$81 x^{2} - 198 x y + 121 y^{2}$

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Solution

$81 x^{2} - 198 x y + 121 y^{2}$
$= 81 x^{2} - 99 x y - 99 x y + 121 y^{2}$
$= 9 x (9 x - 11 y) - 11 y (9 x - 11 y)$
$= (9 x - 11 y) (9 x - 11 y)$

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Factors of Algebraic Expressions and Factorisation

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