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Simplify (4m + 5n)Square2 + (5m + 4n)Square2 - Mathematics

Simplify (4m + 5n)2 + (5m + 4n)2

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Solution

(4m + 5n)2 + (5m + 4n)2

= (4m)2 + 2(4m) (5n) + (5n)2 + (5m)2 + 2(5m) (4n) + (4n)2

[ (a + b)2 = a2 + 2ab + b2]

= 16m2 + 40mn + 25n2 + 25m2 + 40mn + 16n2

= 41m2 + 80mn + 41n2

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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 9 Algebraic Expressions and Identities
Exercise 9.5 | Q 4.4 | Page 151
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