Question

Evaluate ${48}^2$ using suitable identity

Answer 1

Given expression can be written as,

${\left(48\right)}^2={(50-2)}^2$

We know that,

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

Here,

$a=50,b=2$

$$\begin{gathered} \Rightarrow {(50-2)}^2={50}^2-2\times 50\times 2+2^2 \\ =2500-200+4 \\ =2304 \end{gathered}$$

Hence, we get $2304$ after simplification.