Question

Using suitable identity find 95*105

Answer 1

it can be written as

(100-5)(100+5)       (a+b)(a-b)=a²-b²

100²-5²

10000-25=9975

Answer 2

As per the data given in the above question.

In the above question, it is given that,

The given data is $95\times 105$,

 We have to find the value of given equation by identity.

Thus, Identity is comparing two expression with each other we get,

Writing the equation as follow,

$95\times 105=(100-5)(100+5)$

comparing with the equation we get,

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

Now substituting we get,

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

Hence we get the value as 9975.