What is (x^2+7x-78)/(x^2-36) ?

The solution to (x^2+7x-78)/(x^2-36) is (x+13)/(x+6)

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simplify (x^2+7x-78)/(x^2-36)

simplify

\frac{x ^{2} + 7 x - 78}{x ^{2} - 36}

\frac{x + 13}{x + 6}

Solution steps

\frac{x ^{2} + 7 x - 78}{x ^{2} - 36}

Factor

x^{2} + 7 x - 78 : (x - 6) (x + 13)

= \frac{( x - 6 ) ( x + 13 )}{x ^{2} - 36}

Factor

x^{2} - 36 : (x + 6) (x - 6)

= \frac{( x - 6 ) ( x + 13 )}{( x + 6 ) ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{x + 13}{x + 6}

\frac{4 - 10 i}{- 3 - 7 i}

(\frac{5}{7})^{0}

\frac{ln ( x )}{x}

\frac{2 - x}{x ^{2} + 4 x - 12}

\frac{41}{3} \div \frac{22}{5}

What is (x^2+7x-78)/(x^2-36) ?
The solution to (x^2+7x-78)/(x^2-36) is (x+13)/(x+6)