Q31. - Algebra 2

Question

Simplify the expression $\frac{3p-21}{p^2-49}\cdot \frac{p^2+7p}{3p}$

Step-by-Step Solution

Answer

The simplified value of expression is 1.

Step 1. Write down the given expression.

The given expression is $\frac{3p-21}{p^2-49}\cdot \frac{p^2+7p}{3p}$

Step 2. Simplify the expression.

The given expression $\frac{3p-21}{p^2-49}\cdot \frac{p^2+7p}{3p}$is simplified as:

$\begin{array}{c}\frac{3p-21}{p^2-49}\cdot \frac{p^2+7p}{3p}=\frac{3\left(p-7\right)}{\left(p-7\right)\left(p+7\right)}\cdot \frac{p\left(p+7\right)}{3p}\\ =\frac{3}{\left(p+7\right)}\cdot \frac{\left(p+7\right)}{3}\\ =1\end{array}$

Step 3. Conclusion.

The simplified value of expression is $1$ .