What is 6/(2x^2)+x/(x^2-x) ?

The solution to 6/(2x^2)+x/(x^2-x) is (3x-3+x^2)/(x^2(x-1))

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simplify 6/(2x^2)+x/(x^2-x)

simplify

\frac{6}{2 x ^{2}} + \frac{x}{x ^{2} - x}

\frac{3 x - 3 + x ^{2}}{x ^{2} ( x - 1 )}

Solution steps

\frac{6}{2 x ^{2}} + \frac{x}{x ^{2} - x}

Cancel

\frac{6}{2 x ^{2}} : \frac{3}{x ^{2}}

= \frac{3}{x ^{2}} + \frac{x}{x ^{2} - x}

Cancel

\frac{x}{x ^{2} - x} : \frac{1}{x - 1}

= \frac{3}{x ^{2}} + \frac{1}{x - 1}

Simplify

\frac{3}{x ^{2}} + \frac{1}{x - 1} : \frac{3 ( x - 1 ) + x ^{2}}{x ^{2} ( x - 1 )}

= \frac{3 ( x - 1 ) + x ^{2}}{x ^{2} ( x - 1 )}

Simplify

3 (x - 1) + x^{2} : 3 x - 3 + x^{2}

= \frac{3 x - 3 + x ^{2}}{x ^{2} ( x - 1 )}

- 7 \frac{2}{3} + (- 5 \frac{1}{2}) + 8 \frac{3}{4}

\frac{\frac{c ^{2} - 4}{c + 3}}{\frac{c + 2}{3 ( c ^{2} - 9 )}}

64 m^{9} + 64 n^{16}

\frac{c ^{2} + 7 c + 10}{c ^{2} + 2 c - 15} \cdot \frac{4 c + 12}{3 c + 15}

12 x^{2} - 4 x

What is 6/(2x^2)+x/(x^2-x) ?
The solution to 6/(2x^2)+x/(x^2-x) is (3x-3+x^2)/(x^2(x-1))