95 105 - Vidyadip

Question

$95 \times 105$

✓

Answer

Here, we will use the identity $(a-b)(a+b)=a^2-b^2$
Let us consider the following expression:
$95 \times 105$
$\because \frac{95+105}{2}=\frac{200}{2}=100, \text { therefore, we will write the above product as: }$
$95 \times 105$
$=(100+5)(100-5)$
$=(100)^2-(5)^2$
$=10000-25$
$=9975$
Thus, the answer is 9975

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