What is (x^2+6x-7)/(x^2-49) ?

The solution to (x^2+6x-7)/(x^2-49) is (x-1)/(x-7)

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simplify (x^2+6x-7)/(x^2-49)

simplify

\frac{x ^{2} + 6 x - 7}{x ^{2} - 49}

\frac{x - 1}{x - 7}

Solution steps

\frac{x ^{2} + 6 x - 7}{x ^{2} - 49}

Factor

x^{2} + 6 x - 7 : (x - 1) (x + 7)

= \frac{( x - 1 ) ( x + 7 )}{x ^{2} - 49}

Factor

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

= \frac{( x - 1 ) ( x + 7 )}{( x + 7 ) ( x - 7 )}

Cancel the common factor:

x + 7

= \frac{x - 1}{x - 7}

\frac{5 x ^{2} + 10 x + 20}{5}

9 \times \frac{1}{3}

(x^{2} - 3)^{3}

- \frac{18}{6}

8 a - 6 a

What is (x^2+6x-7)/(x^2-49) ?
The solution to (x^2+6x-7)/(x^2-49) is (x-1)/(x-7)