What is (4x+3)/x+(24)/(2x^2-8x) ?

The solution to (4x+3)/x+(24)/(2x^2-8x) is (4x-13)/(x-4)

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simplify (4x+3)/x+(24)/(2x^2-8x)

simplify

\frac{4 x + 3}{x} + \frac{24}{2 x ^{2} - 8 x}

\frac{4 x - 13}{x - 4}

Solution steps

\frac{4 x + 3}{x} + \frac{24}{2 x ^{2} - 8 x}

Cancel

\frac{24}{2 x ^{2} - 8 x} : \frac{12}{x ( x - 4 )}

= \frac{4 x + 3}{x} + \frac{12}{x ( x - 4 )}

Simplify

\frac{4 x + 3}{x} + \frac{12}{x ( x - 4 )} : \frac{( 4 x + 3 ) ( x - 4 ) + 12}{x ( x - 4 )}

= \frac{( 4 x + 3 ) ( x - 4 ) + 12}{x ( x - 4 )}

Simplify

(4 x + 3) (x - 4) + 12 : 4 x^{2} - 13 x

= \frac{4 x ^{2} - 13 x}{x ( x - 4 )}

Cancel

\frac{4 x ^{2} - 13 x}{x ( x - 4 )} : \frac{4 x - 13}{x - 4}

= \frac{4 x - 13}{x - 4}

- 4 y^{2} + 4 x y - 2 x^{2} + 2 x + 10

(z - k)^{6}

(1 - t)^{2}

4 x^{3} + 8 x^{2} - 11 x + 3

+ 30 x - 24 x y

What is (4x+3)/x+(24)/(2x^2-8x) ?
The solution to (4x+3)/x+(24)/(2x^2-8x) is (4x-13)/(x-4)