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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 10

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

\frac{x ^{2} + 9 x + 20}{x + 5}

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

331.3 + 0.606 \cdot 20

(y + 2)^{4}

- (y - 1)^{2}

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