Question

Simplify the following: ${\left(96\right)}^2$

Answer 1

Step 1: Write the given question in the form ${(100-4)}^2$

Step 2: Identify the identity we can use, we can see that it is of the form ${(a-b)}^2$ which is equal to $a^2-2ab+b^2$

Step 3: Apply the identity

$$\begin{gathered} {(100-4)}^2={\left(100\right)}^2-2\left(100\right)\left(4\right)+4^2 \\ =10000-800+16 \\ =9200+16 \\ =9216 \end{gathered}$$

Hence, the result is $9216$.