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

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

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

simplify

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

\frac{7 x ^{2} + 2 x - 4}{( x - 2 ) ( x + 5 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

= \frac{7 x ^{2} + 2 x - 4}{( x - 2 ) ( x + 5 )}

7 i^{24}

(2 a + x)^{3}

(3 x - y)^{3}

(3 x - 1) (2 x^{3} + 4 x^{2} - 5)

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