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Show that (4pq + 3q)Square2 - (4pq - 3q)Square2 = 48pqsquare2 - Mathematics

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ConceptConcept of Identity

Question

Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`

Solution

L.H.S = (4pq + 3q)2 - (4pq - 3q)2

= (4pq)2 + 2(4pq)(3q) + (3q)2 = [(4pq)2 - 2(4pq)(3q) +(3q)2]

= 16p2q2 + 24pq2 + 9q2 - [16p2q2 - 24pq2 + 9q2]

= 16p2q2 + 24pq2 + 9q2 - 16p2q2 +24pq2 - 9q2

= 48pq2 = R.H.S

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 9: Algebraic Expressions and Identities
Ex. 9.5 | Q: 5.4 | Page no. 151

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Solution Show that (4pq + 3q)Square2 - (4pq - 3q)Square2 = 48pqsquare2 Concept: Concept of Identity.
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