What is 7/(x-5)+(x+2)/(x-2) ?

The solution to 7/(x-5)+(x+2)/(x-2) is (x^2+4x-24)/((x-5)(x-2))

Popular >

simplify 7/(x-5)+(x+2)/(x-2)

simplify

\frac{7}{x - 5} + \frac{x + 2}{x - 2}

\frac{x ^{2} + 4 x - 24}{( x - 5 ) ( x - 2 )}

Solution steps

\frac{7}{x - 5} + \frac{x + 2}{x - 2}

Least Common Multiplier of

x - 5, x - 2 : (x - 5) (x - 2)

Adjust Fractions based on the LCM

= \frac{7 ( x - 2 )}{( x - 5 ) ( x - 2 )} + \frac{( x + 2 ) ( x - 5 )}{( x - 5 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{7 ( x - 2 ) + ( x + 2 ) ( x - 5 )}{( x - 5 ) ( x - 2 )}

Simplify

7 (x - 2) + (x + 2) (x - 5) : x^{2} + 4 x - 24

= \frac{x ^{2} + 4 x - 24}{( x - 5 ) ( x - 2 )}

\frac{cos ( x )}{1 - sin ( x )} + \frac{1 - sin ( x )}{cos ( x )}

(- 6 + 8 i) - (6 + 5 i)

\frac{1}{2} x^{4}

- 24 3^{\frac{1}{5}}

What is 7/(x-5)+(x+2)/(x-2) ?
The solution to 7/(x-5)+(x+2)/(x-2) is (x^2+4x-24)/((x-5)(x-2))