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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Simplify: $ \left(m^2-n^2 m\right)^2+2 m^3 n^2 $
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Answer

To simplify, we will proceed as follows:
$ \left(m^2-n^2 m\right)^2+2 m^3 n^2 $
$ =(m 2)^2+(n 2 m)^2\left[\because(a+b)(a-b)=a^2-b^2\right] $
$ =m^4+n^4 m^2 $

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