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Factorisation Using Algebraic Identities

vii Factorise...

Question

Question 91 (vii)

Factorise the following:

$18 + 11 x + x^{2}$

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Solution

We have, $18 + 11 x + x^{2}$
$= x^{2} + 11 x + 18 = x^{2} + (9 + 2) x + 18 = x^{2} + 9 x + 2 x + 18 = x (x + 9) + 2 (x + 9) = (x + 9) (x + 2)$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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