What is (x^2-49)/(x^2+2x-35) ?

The solution to (x^2-49)/(x^2+2x-35) is (x-7)/(x-5)

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simplify (x^2-49)/(x^2+2x-35)

simplify

\frac{x ^{2} - 49}{x ^{2} + 2 x - 35}

\frac{x - 7}{x - 5}

Solution steps

\frac{x ^{2} - 49}{x ^{2} + 2 x - 35}

Factor

x^{2} - 49 : (x + 7) (x - 7)

= \frac{( x + 7 ) ( x - 7 )}{x ^{2} + 2 x - 35}

Factor

x^{2} + 2 x - 35 : (x - 5) (x + 7)

= \frac{( x + 7 ) ( x - 7 )}{( x - 5 ) ( x + 7 )}

Cancel the common factor:

x + 7

= \frac{x - 7}{x - 5}

\frac{x}{3 x}

\frac{17}{7}

2 (2 n + 3)

\frac{1}{2 ( - \frac{1}{2 x} )}

- 9 + (- 8)

What is (x^2-49)/(x^2+2x-35) ?
The solution to (x^2-49)/(x^2+2x-35) is (x-7)/(x-5)