Question

Evaluate the following products without multiplying directly:
$95\times 96$

• A. 9120
• B. 4860
• C. 9210
• D. 4680

Answer 1

The correct option is A

9120

$95\times 96=(100-5)(100-4)$

Using identity,
$(x-a)(x-b)=x^2-(a+b)x+ab$

$95\times 96={\left(100\right)}^2-(5+4)\left(100\right)+\left(5\right)\left(4\right)$

$=10000-900+20$

$=9120$