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Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Factorise the following using the identity $a^2- b^2= (a + b)(a - b). $
$p^5- 16p$
✓

Answer

$ p^5-16 p $
$ =p\left(p^4-16\right) $
$ =p\left[\left(p^2\right)^2-4^2\right] $
$ =p\left(p^2+4\right)\left(p^2-4\right)$
$=p\left(p^2+4\right)\left(p^2-2^2\right) $
$ =p\left(p^2+4\right)(p+2)(p-2) $

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