What is (6x)/(x-2)+4/(x-5) ?

The solution to (6x)/(x-2)+4/(x-5) is (6x^2-26x-8)/((x-2)(x-5))

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simplify (6x)/(x-2)+4/(x-5)

simplify

\frac{6 x}{x - 2} + \frac{4}{x - 5}

\frac{6 x ^{2} - 26 x - 8}{( x - 2 ) ( x - 5 )}

Solution steps

\frac{6 x}{x - 2} + \frac{4}{x - 5}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{6 x ( x - 5 )}{( x - 2 ) ( x - 5 )} + \frac{4 ( x - 2 )}{( x - 2 ) ( x - 5 )}

Apply the fraction rule:

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

= \frac{6 x ( x - 5 ) + 4 ( x - 2 )}{( x - 2 ) ( x - 5 )}

Simplify

6 x (x - 5) + 4 (x - 2) : 6 x^{2} - 26 x - 8

= \frac{6 x ^{2} - 26 x - 8}{( x - 2 ) ( x - 5 )}

sin (x) + cot (x) cos (x)

\frac{30}{120}

i^{5} + i^{6} + i^{7} + i^{8}

\frac{4}{3 x ^{2}} + \frac{2}{5 x}

\frac{sin ^{2} ( θ )}{1 - cos ( θ )}

What is (6x)/(x-2)+4/(x-5) ?
The solution to (6x)/(x-2)+4/(x-5) is (6x^2-26x-8)/((x-2)(x-5))