What is (3r^2-39r+90)/(r^2-3r-70) ?

The solution to (3r^2-39r+90)/(r^2-3r-70) is (3(r-3))/(r+7)

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simplify (3r^2-39r+90)/(r^2-3r-70)

simplify

\frac{3 r ^{2} - 39 r + 90}{r ^{2} - 3 r - 70}

\frac{3 ( r - 3 )}{r + 7}

Solution steps

\frac{3 r ^{2} - 39 r + 90}{r ^{2} - 3 r - 70}

Factor

3 r^{2} - 39 r + 90 : 3 (r - 3) (r - 10)

= \frac{3 ( r - 3 ) ( r - 10 )}{r ^{2} - 3 r - 70}

Factor

r^{2} - 3 r - 70 : (r + 7) (r - 10)

= \frac{3 ( r - 3 ) ( r - 10 )}{( r + 7 ) ( r - 10 )}

Cancel the common factor:

r - 10

= \frac{3 ( r - 3 )}{r + 7}

\frac{4 a ^{2} + 12 a}{8 a ^{2}}

\frac{64}{7}

\frac{2 + 1}{2 - 1}

\frac{x + 2}{x + 3} - \frac{x - 6}{x}

(- 8) (- 7)

What is (3r^2-39r+90)/(r^2-3r-70) ?
The solution to (3r^2-39r+90)/(r^2-3r-70) is (3(r-3))/(r+7)