What is 2/(x-3)-3/(1-2x) ?

The solution to 2/(x-3)-3/(1-2x) is (-7x+11)/((x-3)(-2x+1))

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simplify 2/(x-3)-3/(1-2x)

simplify

\frac{2}{x - 3} - \frac{3}{1 - 2 x}

\frac{- 7 x + 11}{( x - 3 ) ( - 2 x + 1 )}

Solution steps

\frac{2}{x - 3} - \frac{3}{1 - 2 x}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (- 2 x + 1) - 3 (x - 3) : - 7 x + 11

= \frac{- 7 x + 11}{( x - 3 ) ( - 2 x + 1 )}

- 4100

\frac{81}{4} - \frac{81}{2}

m^{3} n - mn

\frac{2}{3} \cdot (- 6)

\frac{112}{16}

What is 2/(x-3)-3/(1-2x) ?
The solution to 2/(x-3)-3/(1-2x) is (-7x+11)/((x-3)(-2x+1))