What is (3x)/(x^2-2x+1)+4/(2x-2) ?

The solution to (3x)/(x^2-2x+1)+4/(2x-2) is (5x-2)/((x-1)^2)

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simplify (3x)/(x^2-2x+1)+4/(2x-2)

simplify

\frac{3 x}{x ^{2} - 2 x + 1} + \frac{4}{2 x - 2}

\frac{5 x - 2}{( x - 1 ) ^{2}}

Solution steps

\frac{3 x}{x ^{2} - 2 x + 1} + \frac{4}{2 x - 2}

Cancel

\frac{4}{2 x - 2} : \frac{2}{x - 1}

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

Simplify

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

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

Simplify

3 x + 2 (x - 1) : 5 x - 2

= \frac{5 x - 2}{( x - 1 ) ^{2}}

\frac{3 a - 2 b}{6 c} + \frac{6 a + 5 b}{6 c}

9 - 25

4 - \frac{4}{5}

2 0^{2} + 2 0^{2}

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

What is (3x)/(x^2-2x+1)+4/(2x-2) ?
The solution to (3x)/(x^2-2x+1)+4/(2x-2) is (5x-2)/((x-1)^2)