What is 5/(y^2-4)-2/(y-2) ?

The solution to 5/(y^2-4)-2/(y-2) is (-2y+1)/((y+2)(y-2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/(y^2-4)-2/(y-2)

simplify

\frac{5}{y ^{2} - 4} - \frac{2}{y - 2}

\frac{- 2 y + 1}{( y + 2 ) ( y - 2 )}

Solution steps

\frac{5}{y ^{2} - 4} - \frac{2}{y - 2}

Least Common Multiplier of

y^{2} - 4, y - 2 : (y + 2) (y - 2)

Adjust Fractions based on the LCM

= \frac{5}{( y + 2 ) ( y - 2 )} - \frac{2 ( y + 2 )}{( y + 2 ) ( y - 2 )}

Apply the fraction rule:

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

= \frac{5 - 2 ( y + 2 )}{( y + 2 ) ( y - 2 )}

Simplify

5 - 2 (y + 2) : - 2 y + 1

= \frac{- 2 y + 1}{( y + 2 ) ( y - 2 )}

\frac{1}{4} \div 7

\frac{5}{29}

\frac{9 x ^{3}}{18 x ^{3} - 36 x ^{2}}

\frac{2 x ^{2} + x - 15}{a x + 3 a - 2 b x - 6 b}

33 - 9 i

What is 5/(y^2-4)-2/(y-2) ?
The solution to 5/(y^2-4)-2/(y-2) is (-2y+1)/((y+2)(y-2))