Question

evaluate 105×95 by using suitable identity​

Answer 1

Answer:

(100+5)(100-5) by a²-b² identity.

100²-5²

10000-25

9975 is your answer

Answer 2

As per the data given in the above question.

In the above question, it is given that,

The given data is 105 x 95,

We have to evaluate the given value by using a suitable identity.

Thus, evaluating we get,

By suitable identity,

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

Hence we get the value as 9975.