Answer to Question #309511 in Algebra for Carl Johnson

Question

4/p+p/6-3p/2

Answer 1

Solution

$\frac{4}{p}+\frac{p}{6}-\frac{3p}{2}\\$

$=\frac{4\times 6}{6p}+\frac{p\times p}{6\times p}-\frac{3p\times 3p}{2\times 3p}\\$

$=\frac{24}{6p}+\frac{p^2}{6p}-\frac{9p^2}{6p}\\$

$=\frac{24+p^2-9p^2}{6p}$

$=\frac{24-8p^2}{6p}$

$=\frac{8(3-p^2)}{6p}$

$=\frac{4(3-p^2)}{3p}$