Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Simplify the following using the formula $(a+b)^2=a^2+2 a b+b^2$ :
$(82)^2-(18)^2$
✓
Answer
Here, we will use the identity $(a-b)(a+b)=a^2-b^2$
Let us consider the following expression:
$(82)^2-(18)^2$
$=(82+18)(82-18)$
$=100 \times 64$
$=6400$
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