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