Question

Find the value of $95\times 95$ using the algebraic identity.

Answer 1

Compute the required value

Given expression is $95\times 95$

We know that ${\left(a-b\right)}^2=a^2+b^2-2ab$

$\Rightarrow 95\times 95={95}^2={\left(100-5\right)}^2$

$={100}^2+5^2-2\times 100\times 5$

$=10000+25–1000$

$=9025$

Hence the value of $95\times 95$ is $9025$