Question

Find the product of the below expression.

${\left(m+n\right)}^2$

Short answer

The solution is$m^2+2mn+n^2$.

Step-by-step solution

Step 1. Given information.

The given expression is ${\left(m+n\right)}^2$.

Step 2. Simplify the given expression by using the binomial squares pattern a+b2=a2+2ab+b2.

Solve it as follows:

$$\begin{gathered} {\left(m+n\right)}^2={\left(m\right)}^2+2\times m\times n+{\left(n\right)}^2 \\ \Rightarrow m^2+2mn+n^2 \end{gathered}$$

Step 3. Simplified expression.

Hence, the required expression is$m^2+2mn+n^2$.