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Find the Following Product: (P2 + 16) ( P 2 − 1 4 ) - Mathematics

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ConceptConcept of Identity

Question

Find the following product:  (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]

Solution

Here, we will use the identity​ \[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\].

\[\left( p^2 + 16 \right)\left( p^2 - \frac{1}{4} \right)\]

\[ = \left( p^2 \right)^2 + \left( 16 - \frac{1}{4} \right)\left( p^2 \right) - 16 \times \frac{1}{4}\]

\[ = p^4 + \frac{63}{4} p^2 - 4\]

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 6: Algebraic Expressions and Identities
Ex. 6.7 | Q: 1.17 | Page no. 47

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Solution Find the Following Product: (P2 + 16) ( P 2 − 1 4 ) Concept: Concept of Identity.
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