What is p/(p^2+2p-8)-2/(p^2+p-12) ?

The solution to p/(p^2+2p-8)-2/(p^2+p-12) is (p^2-5p+4)/((p-2)(p+4)(p-3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify p/(p^2+2p-8)-2/(p^2+p-12)

simplify

\frac{p}{p ^{2} + 2 p - 8} - \frac{2}{p ^{2} + p - 12}

\frac{p ^{2} - 5 p + 4}{( p - 2 ) ( p + 4 ) ( p - 3 )}

Solution steps

\frac{p}{p ^{2} + 2 p - 8} - \frac{2}{p ^{2} + p - 12}

Least Common Multiplier of

p^{2} + 2 p - 8, p^{2} + p - 12 : (p - 2) (p + 4) (p - 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

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

Simplify

p (p - 3) - 2 (p - 2) : p^{2} - 5 p + 4

= \frac{p ^{2} - 5 p + 4}{( p - 2 ) ( p + 4 ) ( p - 3 )}

3 \frac{1}{9}

\frac{3}{4} + \frac{2}{5} + \frac{1}{6}

f^{- 1} x

\frac{4 x ^{3}}{12 x ^{2} + 108 x}

4 \cdot 16

What is p/(p^2+2p-8)-2/(p^2+p-12) ?
The solution to p/(p^2+2p-8)-2/(p^2+p-12) is (p^2-5p+4)/((p-2)(p+4)(p-3))