What is 4/((x^2-25))+((x+2))/((x^2-2x-15)) ?

The solution to 4/((x^2-25))+((x+2))/((x^2-2x-15)) is (x^2+11x+22)/((x+5)(x-5)(x+3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4/((x^2-25))+((x+2))/((x^2-2x-15))

simplify

\frac{4}{( x ^{2} - 25 )} + \frac{( x + 2 )}{( x ^{2} - 2 x - 15 )}

\frac{x ^{2} + 11 x + 22}{( x + 5 ) ( x - 5 ) ( x + 3 )}

Solution steps

\frac{4}{x ^{2} - 25} + \frac{x + 2}{x ^{2} - 2 x - 15}

Least Common Multiplier of

x^{2} - 25, x^{2} - 2 x - 15 : (x + 5) (x - 5) (x + 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

4 (x + 3) + (x + 2) (x + 5) : x^{2} + 11 x + 22

= \frac{x ^{2} + 11 x + 22}{( x + 5 ) ( x - 5 ) ( x + 3 )}

343 x^{6} + 512

4 (b - 7) + 6 b + 5

5 c^{1} + 5 c^{2} + 5 c^{3}

\frac{\frac{1}{5} x}{2}

y^{2} + (- 2) x^{2} y + 36 x^{4}

What is 4/((x^2-25))+((x+2))/((x^2-2x-15)) ?
The solution to 4/((x^2-25))+((x+2))/((x^2-2x-15)) is (x^2+11x+22)/((x+5)(x-5)(x+3))