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Factorisation Using Algebraic Identities

Factorize the...

Question

Factorize the following trinomial:
$2 a^{2} b^{2} - a b - 21$

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Solution

$2 a^{2} b^{2} - a b - 21$
$= 2 a^{2} b^{2} + 6 a b - 7 a b - 21$
$= 2 a b (a b + 3) - 7 (a b + 3)$
$= (2 a b - 7) (a b + 3)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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