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Chapter 9: Q31. (page 476)

Simplify the expression $\frac{3 p 鈭� 21}{p^{2} 鈭� 49} 鈰� \frac{p^{2} + 7 p}{3 p}$

Short Answer

Expert verified

The simplified value of expression is 1.

Step by step solution

01

Step 1. Write down the given expression.

The given expression is $\frac{3 p 鈭� 21}{p^{2} 鈭� 49} 鈰� \frac{p^{2} + 7 p}{3 p}$

02

Step 2. Simplify the expression.

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

$\begin{matrix} \frac{3 p 鈭� 21}{p^{2} 鈭� 49} 鈰� \frac{p^{2} + 7 p}{3 p} = \frac{3 (p 鈭� 7)}{(p 鈭� 7) (p + 7)} 鈰� \frac{p (p + 7)}{3 p} \\ = \frac{3}{(p + 7)} 鈰� \frac{(p + 7)}{3} \\ = 1 \end{matrix}$

03

Step 3. Conclusion.

The simplified value of expression is $1$ .

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