Question

Find the square of the following numbers: $46$

Answer 1

Finding the square of the given number

We can find the square of $46$ by applying the identity ${(a-b)}^2=a^2-2ab+b^2$

Now, $46$ can be written as $50-4$.

On applying the identity, we get,

$$\begin{gathered} {\left(46\right)}^2 \\ ={(50-4)}^2 \\ ={\left(50\right)}^2-2\left(50\right)\left(4\right)+{\left(4\right)}^2 \\ =2500-400+16 \\ =2116 \end{gathered}$$
Hence, using an identity, the square of $46$ is $2116$.