What is (3x)/(8-x)+(7x+1)/(x-8) ?

The solution to (3x)/(8-x)+(7x+1)/(x-8) is (-4x-1)/(-x+8)

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simplify (3x)/(8-x)+(7x+1)/(x-8)

simplify

\frac{3 x}{8 - x} + \frac{7 x + 1}{x - 8}

\frac{- 4 x - 1}{- x + 8}

Solution steps

\frac{3 x}{8 - x} + \frac{7 x + 1}{x - 8}

Join

\frac{3 x}{8 - x} + \frac{7 x + 1}{x - 8} : \frac{- 4 x - 1}{- x + 8}

= \frac{- 4 x - 1}{- x + 8}

(12 x^{3} - 8 x^{2}) - (3 x^{3} + 9 x^{2} + x - 7)

x^{4} - 6 x^{3} + 7 x^{2} + 6 x - 8

5 c^{2} + 11 c d + 2 d^{2}

(5 - 2) (- 5)

(x + 2) \cdot (x + 3)

What is (3x)/(8-x)+(7x+1)/(x-8) ?
The solution to (3x)/(8-x)+(7x+1)/(x-8) is (-4x-1)/(-x+8)