Question

Evaluate using suitable identity :95×96

Answer 1

Answer:

9120

Step-by-step explanation:

95×96

=(100-5)×(100-4)

=its in form (x-a)(x-b) = x^2-(a+b)x+ab

=100^2-(5+4)×100+5×4

=10000-900+20

=9100+20

=9120

hope this helps

Answer 2

As per the data given in the above question.

In the above question, it is given that,

The given data is $95\times 96$,

We have to evaluate the given value we get.

Thus, the evaluating the given equation we get,

$\begin{aligned}95 \times 96 &=(100-5)(100-4) \\&=(100)^{2}+(-5-4) 100+(-5)(-4)\end{aligned}$

By identity, $(x+a)(x+b)=x^{2}+(a+b) x+a b$

$\begin{array}{l}x=100, a=-5, b=-4 \\=10000-900+20 \\=9120\end{array}$

Hence we get the value as 9120.