Question

Simplify the following : ${\left(104\right)}^2$

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

$$\begin{gathered} {(100+4)}^2={\left(100\right)}^2+2\left(100\right)\left(4\right)+4^2 \\ =10000+800+16 \\ =10800+16 \\ =10816 \end{gathered}$$

Hence, the result is $10816$.