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Factorisation by Regrouping Terms

xi Factorise ...

Question

Question 88 (xi)

Factorise the following expression.

$a^{3} + a^{2} + a + 1$

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Solution

We have, $a^{3} + a^{2} + a + 1$
$= a^{2} (a + 1) + 1 (a + 1) = (a + 1) (a^{2} + 1)$

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Factorisation by Regrouping Terms

Standard VIII Mathematics

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