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Show that (9p - 5q)Square2 + 180pq = (9p + 5q)Square2 - CBSE Class 8 - Mathematics

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Question

Show that (9p - 5q)2 + 180pq = (9p + 5q)2

Solution

L.H.S = (9p − 5q)2 + 180pq

= (9p)2 − 2(9p)(5q) + (5q)2 − 180pq

= 81p2 − 90pq + 25q2 + 180pq

= 81p2 + 90pq + 25q2

R.H.S = (9p + 5q)2

= (9p)2 + 2(9p)(5q) + (5q)2

= 81p2 + 90pq + 25q2

L.H.S = 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. 9.50 | Q: 5.2 | Page no. 151

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Solution Show that (9p - 5q)Square2 + 180pq = (9p + 5q)Square2 Concept: Concept of Identity.
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