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Algebraic Expressions and Identities — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Evaluate the following:
$109 \times 107$
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Answer

Here, we will use the identity $(x+a)(x+b)=x^2+(a+b) x+a b$.
$109 \times 107$
$=(100+9)(100+7)$
$=100^2+(9+7) 100+9 \times 7$
$=10000+1600+63$
$=11663$

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