Question

Evaluate the following using suitable identities.

b) 95 × 105 =

​

Answer 1

Answer:

10000

Step-by-step explanation:

95*105=95+5*100

=100*100

=10000

Answer 2

The given data in the above question,

It is given that the value is (95 x 105)

To evaluate the given value by identities,

Identities is to compare the given equation with other equation.

Writing given equation with other for we get,

$(100-5)(100+5)$

Now comparing it with other we get,

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

Further solving it we get,

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

Therefor we get the value as 9975.