Question

Evaluate 95*105 using identinty . State the identity

Answer 1

Step-by-step explanation:

95*105

=(100-5)(100+5)

=10000-500+500-25

=10000-25

=9975

Identity_ (a-b)(a+b) = $a^{2}$- $b^{2}$

Answer 2

According to the information provided in the question.

It is stated in the preceding question that,

The presented information is (95 x 105).

We need to evaluate the given value by identity.

As a result, the evaluated value is as follow,

By identity comparing one expression with other,we get,

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

Therefore we get the value as 9975.