Question

Evaluate $104x96$ using identities

Answer 1

Given expression can be written as

$104x96=(100+4)x(100–4)$

We know that

$(a+b)(a–b)=a^2–b^2$

Here

$a=100,b=4$

$$\begin{gathered} \Rightarrow (100+4)x(100–4)={100}^2-4^2 \\ =10000-16 \\ =9984 \end{gathered}$$

Hence we get $9984$ after simplification