Q14. - Algebra 2

Question

Simplify ${(2m-3n)}^2$ .

Step-by-Step Solution

Answer

The simplified value of expression is ${(2m-3n)}^2=4m^2-12mn+9n^2$ .

Step 1. Write down the given expression.

The given expression to simplify is${(2m-3n)}^2$  .

Step 2. Simplify the given expression.

Simplifying ${(2m-3n)}^2$  gives,

$\begin{array}{c}{(2m-3n)}^2=(2m-3n)(2m-3n)\\ =2m(2m-3n)-3n(2m-3n)\\ =4m^2-6mn-6mn+9n^2\\ =4m^2-12mn+9n^2\end{array}$

Step 3. Conclusion.

The simplified value of expression is ${(2m-3n)}^2=4m^2-12mn+9n^2$  .