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Factors of Algebraic Expressions and Factorisation

Factorize the...

Question

Factorize the following algebraic expression: $a^{2} + 2 a - 3$

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Solution

Given: $a^{2} + 2 a - 3$
On splitting the middle term , we get
$a^{2} + 3 a - a - 3$
$= a (a + 3) - 1 (a + 3)$
$= (a - 1) (a + 3)$

Hence, $a^{2} + 2 a - 3 = (a - 1) (a + 3)$

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Factors of Algebraic Expressions and Factorisation

Standard VIII Mathematics

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