What is (x^2+2x-63)/(x^2+3x-70) ?

The solution to (x^2+2x-63)/(x^2+3x-70) is (x+9)/(x+10)

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simplify (x^2+2x-63)/(x^2+3x-70)

simplify

\frac{x ^{2} + 2 x - 63}{x ^{2} + 3 x - 70}

\frac{x + 9}{x + 10}

Solution steps

\frac{x ^{2} + 2 x - 63}{x ^{2} + 3 x - 70}

Factor

x^{2} + 2 x - 63 : (x - 7) (x + 9)

= \frac{( x - 7 ) ( x + 9 )}{x ^{2} + 3 x - 70}

Factor

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

= \frac{( x - 7 ) ( x + 9 )}{( x - 7 ) ( x + 10 )}

Cancel the common factor:

x - 7

= \frac{x + 9}{x + 10}

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

4 x^{2} + 25 y^{2} - 20 x y

(7 - 7) (10 - 100)

\frac{9}{4} - \frac{5}{10}

\frac{10}{( - 2 )}

What is (x^2+2x-63)/(x^2+3x-70) ?
The solution to (x^2+2x-63)/(x^2+3x-70) is (x+9)/(x+10)