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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Find the following products: $ \big(\text{p}^2 + 16\big) \big(\text{p}^2−\frac{1}{4}\big)$
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Answer

Here, we will use the identity $(x+a)(x-b)=x^2+(a-b) x-a b$.
$ \big(\text{p}^2 + 16\big) \big(\text{p}^2−\frac{1}{4}\big)$
$=\big(\text{p}^2\big)2+\big(16−\frac{1}{4}\big)\big(\text{p}^2\big)−16×\frac{1}{4}​​​​​​​$
$=\text{p}^4+\frac{63}{4}\text{p}^2−4​​​​​​​$

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