Question

solve using identities (105×95)​

Answer 1

Step-by-step explanation:

105×95

(100+5)(100-5)

(100×100)(5×5)

10000-25

9975

Answer 2

According to the information provided in the question.

It is stated in the preceding question that,

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

We need to solve the given equation by identities.

As a result, the evaluated value is as follow,

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

Comparing it with identities we get,

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

Thus, we get,

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

Therefore after solving we get, 9975.