Question

Evaluate using identities 105 x 95
by

Answer 1

Answer:

9975

Step-by-step explanation:

105*95 = (100+5)*(100-5)

Using (a+b)(a-b) identity,

(100+5)*(100-5)= (100^2)-(5^2)

= 10000-25

= 9975

Answer 2

In the above question it is given that,

The given value is $105\times 95$.

To evaluate the value using identities,

Thus, comparing one equation with other we get,

(100+5)(100-5) with,

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

We get,

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

Therefore the value is 9975.