What is 2/(2r-6)-(4r)/(r-4) ?

The solution to 2/(2r-6)-(4r)/(r-4) is (-4r^2+13r-4)/((r-3)(r-4))

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simplify 2/(2r-6)-(4r)/(r-4)

simplify

\frac{2}{2 r - 6} - \frac{4 r}{r - 4}

\frac{- 4 r ^{2} + 13 r - 4}{( r - 3 ) ( r - 4 )}

Solution steps

\frac{2}{2 r - 6} - \frac{4 r}{r - 4}

Cancel

\frac{2}{2 r - 6} : \frac{1}{r - 3}

= \frac{1}{r - 3} - \frac{4 r}{r - 4}

Simplify

\frac{1}{r - 3} - \frac{4 r}{r - 4} : \frac{r - 4 - 4 r ( r - 3 )}{( r - 3 ) ( r - 4 )}

= \frac{r - 4 - 4 r ( r - 3 )}{( r - 3 ) ( r - 4 )}

Simplify

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

= \frac{- 4 r ^{2} + 13 r - 4}{( r - 3 ) ( r - 4 )}

(x + 3) (x + 1) (x - 1)

(+ 6) - (- 2)

- 2 a^{2} - 6 a^{2}

(m + n - 1) x^{2} + (m + n - 1) x - (m + n - 1)

2 a + 2

What is 2/(2r-6)-(4r)/(r-4) ?
The solution to 2/(2r-6)-(4r)/(r-4) is (-4r^2+13r-4)/((r-3)(r-4))