Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Show that:
$(9 a-5 b)^2+180 a b=(9 a+5 b)^2$
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Answer
$(9 a-5 b)^2+180 a b=(9 a+5 b)^2$
$\text { LHS }=(9 a-5 b)^2+180 a b$
$=(9 a+5 b)^2\left[\because(a+b)(a-b)=a^2-b^2\right]$
$=\text { RHS }$
Because LHS is equal to RHS, the given equation is verified.
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