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Show that (4by3 M - 3by4 N)Square2 + 2mn = 16/9 Msquare2 + 9by16 Nsquare2 - CBSE Class 8 - Mathematics

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Question

Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`

Solution

L.H.S = `(4/3 m - 3/4n)^2 + 2mn`

= `(4/3 m)^2 - 2(4/3 m)(3/4 n) + (3/4 n)^2 + 2mn`

= `16/9 m^2 - 2mn + 9/16 n^2 + 2mn`

= `16/9 m^2 + 9/16 n^2` = 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: 5.3 | Page no. 151

Video TutorialsVIEW ALL [1]

Solution Show that (4by3 M - 3by4 N)Square2 + 2mn = 16/9 Msquare2 + 9by16 Nsquare2 Concept: Concept of Identity.
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