Q3C. - Algebra 1

Question

Evaluate the expression $\frac{{\left(4+5\right)}^2}{3\left(7-4\right)}$.

Step-by-Step Solution

Answer

The simplification expression of $\frac{{\left(4+5\right)}^2}{3\left(7-4\right)}$ is 9.

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the bracket operation must be completed followed division, by multiplication, addition, and finally subtraction.

Step 2. Example of applying BODMAS rule.

The expression $\frac{{(2+3)}^2}{5(4-3)}$ can be written as

$\begin{array}{l}\frac{{(2+3)}^2}{5(4-3)}=\frac{5^2}{5\left(1\right)}\\ =\frac{5\times 5}{5\times 1}\\ =\frac{25}{5}\\ =5\end{array}$

Step 3. DESCRIPTION OF STEP.

The expression $\frac{{\left(4+5\right)}^2}{3\left(7-4\right)}$ can be simplified as follows:

$\begin{array}{l}\frac{{\left(4+5\right)}^2}{3\left(7-4\right)}\\ =\frac{{\left(9\right)}^2}{3\left(3\right)}\\ =\frac{81}{9}\\ =9\end{array}$

Hence, the simplified expression $\frac{{\left(4+5\right)}^2}{3\left(7-4\right)}$ is 9.