Question

using suitable identies evaluate 105×95​

Answer 1

Answer:

Step-by-step explanation:

105x95

=(100+5)(100-5)

=(100)^2-5^2

=9975

Answer 2

As per the data given in the above question.

In the above question, it is given that,

The given data is $105\times 95$,

 We have to evaluate the given expression by using identities.

Thus, Evaluating the given equation we get,

Re writing the equation we get,

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

Comparing the above equation with identities we get,

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

After comparing substituting the value we get,

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

Hence the value is 9975.