What is (r^2-r-6)/((r-2)(r-3)) ?

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

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simplify (r^2-r-6)/((r-2)(r-3))

simplify

\frac{r ^{2} - r - 6}{( r - 2 ) ( r - 3 )}

\frac{r + 2}{r - 2}

Solution steps

\frac{r ^{2} - r - 6}{( r - 2 ) ( r - 3 )}

Factor

r^{2} - r - 6 : (r + 2) (r - 3)

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

Cancel the common factor:

r - 3

= \frac{r + 2}{r - 2}

(x + 1) (x + 2) + (x + 3) (x + 4) - 2 x^{2} - 10 x + 1

\frac{x ^{3} - 8}{x ^{2} - 4 x + 4}

\frac{5}{6} \cdot \frac{3}{8}

\frac{2 x + 10}{x + 7 - 2}

(5 x + 7)^{8}

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