Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Show that:
$(3 x+7)^2-84 x=(3 x-7)^2$
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Answer
To simplify, we will proceed as follows:
$(3 x+7)^2-84 x=(3 x-7)^2$
$\text { LHS }=(3 x+7)^2-84 x$
$=(3 x+7)^2-4 \times 3 x \times 7$
$=(3 x-7)^2\left[\because(a+b)(a-b)=a^2-b^2\right]$
$=\text { RHS }$
Because LHS is equal to RHS, the given equation is verified.
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