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Algebraic Identities — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsAlgebraic Identities2 Marks
Question
Write the following in the expanded form: $(m+2 n-5 p)^2$
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Answer

We have,
$(m+2 n-5 p)^2=m^2+(2 n)^2+(-5 p)^2+2 m \times 2 n+(2 \times 2 n \times-5 p)+2 m \times-5 p$
${\left[\therefore(x+y+z)^2=x^2+y^2+z^2+2 x y+2 y z+2 x z\right]}$
$(m+2 n-5 p)^2=m^2+4 n^2+25 p^2+4 m n-20 n p-10 p m$

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