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

The solution to (5x-1)/(x^2-3x+2)+3/(2x-4) is (13x-5)/(2(x-1)(x-2))

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simplify (5x-1)/(x^2-3x+2)+3/(2x-4)

simplify

\frac{5 x - 1}{x ^{2} - 3 x + 2} + \frac{3}{2 x - 4}

\frac{13 x - 5}{2 ( x - 1 ) ( x - 2 )}

Solution steps

\frac{5 x - 1}{x ^{2} - 3 x + 2} + \frac{3}{2 x - 4}

Least Common Multiplier of

x^{2} - 3 x + 2, 2 x - 4 : 2 (x - 1) (x - 2)

Adjust Fractions based on the LCM

= \frac{( 5 x - 1 ) \cdot 2}{2 ( x - 1 ) ( x - 2 )} + \frac{3 ( x - 1 )}{2 ( x - 1 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{( 5 x - 1 ) \cdot 2 + 3 ( x - 1 )}{2 ( x - 1 ) ( x - 2 )}

Simplify

(5 x - 1) \cdot 2 + 3 (x - 1) : 13 x - 5

= \frac{13 x - 5}{2 ( x - 1 ) ( x - 2 )}

(x - 4) + (2 x - 7)

(X - 4)^{2}

11 (8 r + 3) - 2 (- 9 + 6 r)

(x + 2) (2 x + 3)

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

What is (5x-1)/(x^2-3x+2)+3/(2x-4) ?
The solution to (5x-1)/(x^2-3x+2)+3/(2x-4) is (13x-5)/(2(x-1)(x-2))