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Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Simplify:
$ (2.5 m+1.5 q)^2+(2.5 m-1.5 q)^2 $
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Answer

$ (2.5 m+1.5 q)^2+(2.5 m-1.5 q)^2 $
$ =(2.5 m)^2+(1.5 q)^2+2 \times 2.5 m \times 1.5 q+(2.5 m)^2+(1.5 q)^2-2 \times(2.5 m) \times(1.5 q) $
$ =6.25 m^2+2.25 q^2+6.25 m^2+2.25 q^2 $
$ =(6.25+6.25) m^2+(2.25+2.25) q^2 $
$ =12.5 m^2+4.5 q^2 $

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