What is (3x+5)/x+7/(x-3) ?

The solution to (3x+5)/x+7/(x-3) is (3x^2+3x-15)/(x(x-3))

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simplify (3x+5)/x+7/(x-3)

simplify

\frac{3 x + 5}{x} + \frac{7}{x - 3}

\frac{3 x ^{2} + 3 x - 15}{x ( x - 3 )}

Solution steps

\frac{3 x + 5}{x} + \frac{7}{x - 3}

Least Common Multiplier of

x, x - 3 : x (x - 3)

Adjust Fractions based on the LCM

= \frac{( 3 x + 5 ) ( x - 3 )}{x ( x - 3 )} + \frac{7 x}{x ( x - 3 )}

Apply the fraction rule:

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

= \frac{( 3 x + 5 ) ( x - 3 ) + 7 x}{x ( x - 3 )}

Simplify

(3 x + 5) (x - 3) + 7 x : 3 x^{2} + 3 x - 15

= \frac{3 x ^{2} + 3 x - 15}{x ( x - 3 )}

\frac{x}{x ^{\frac{1}{3}}}

(3 x + 2 y) (5 x - 4 y)

\frac{36}{72}

(3 x + 5) (x - 2)

1 0^{- 2.5}

What is (3x+5)/x+7/(x-3) ?
The solution to (3x+5)/x+7/(x-3) is (3x^2+3x-15)/(x(x-3))