Question

Evaluate 95*105 using identity . State the identity

Answer 1

Distributive Property :-
95*105
= ( 95*100 ) + ( 95*5 )
= 9500 + 475
= 9975
95*105 = 9975

Answer 2

According to the information provided in the question.

It is stated in the preceding question that,

The presented information is $(95 \times 105)$.

We need to evaluate the given equation.

As a result, the evaluation will be as below,

$\begin{aligned}(a+b)(a&-b)=a^{2}-b^{2} \\95 \times 105 &=(100-5)(100+5) \\&=(100)^{2}-(5)^{2} \\&=10000-25 \\&=9975\end{aligned}$

Therefore after evaluation, we get 9975.

Identity is considered to be related to another expression.