What is 7/(x+2)+3/(x^2-4) ?

The solution to 7/(x+2)+3/(x^2-4) is (7x-11)/((x+2)(x-2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7/(x+2)+3/(x^2-4)

simplify

\frac{7}{x + 2} + \frac{3}{x ^{2} - 4}

\frac{7 x - 11}{( x + 2 ) ( x - 2 )}

Solution steps

\frac{7}{x + 2} + \frac{3}{x ^{2} - 4}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{7 ( x - 2 )}{( x + 2 ) ( x - 2 )} + \frac{3}{( x + 2 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{7 ( x - 2 ) + 3}{( x + 2 ) ( x - 2 )}

Simplify

7 (x - 2) + 3 : 7 x - 11

= \frac{7 x - 11}{( x + 2 ) ( x - 2 )}

\frac{99}{11}

0 \div 5

lo g_{3} (90)

\frac{50}{30}

(x - a) (x - b) (x - c)

What is 7/(x+2)+3/(x^2-4) ?
The solution to 7/(x+2)+3/(x^2-4) is (7x-11)/((x+2)(x-2))