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Algebraic Expressions and Identities — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities1 Mark
Question
Write the following squares of binomials as trinomials:
$(2 m+1)^2$
✓

Answer

We will use the identities $(a+b)^2=a^2+2 a b+b^2$ and $(a-b)^2=a^2-2 a b+b^2$ to convert the squares of binomials as trinomials.
$(2 m+1)^2$
$=(2 m)^2+2(2 m)(1)+1^2$
$=4 m^2+4 m+1$

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