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Algebraic Expressions and Identities — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Simplify the following using the identities:
$178 \times 178-22 \times 22$
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Answer

$178 \times 178-22 \times 22$
Let us consider the following expression: Using the identity $(a+b)(a-b)=a^2-b^2$
$178 \times 178-22 \times 22$
$=178^2-22^2$
$=(178+22)(178-22)$
$=200 \times 156$
$=31200$
Thus, the answer is 31200 .

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