What is (x^2+2x-48)/(x^2-36) ?

The solution to (x^2+2x-48)/(x^2-36) is (x+8)/(x+6)

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simplify (x^2+2x-48)/(x^2-36)

simplify

\frac{x ^{2} + 2 x - 48}{x ^{2} - 36}

\frac{x + 8}{x + 6}

Solution steps

\frac{x ^{2} + 2 x - 48}{x ^{2} - 36}

Factor

x^{2} + 2 x - 48 : (x - 6) (x + 8)

= \frac{( x - 6 ) ( x + 8 )}{x ^{2} - 36}

Factor

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

= \frac{( x - 6 ) ( x + 8 )}{( x + 6 ) ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{x + 8}{x + 6}

8 + (- 9)

4 i (- 6 + i)

4 + 7

x (x^{2} + 1)^{2}

32 \frac{3}{5}

What is (x^2+2x-48)/(x^2-36) ?
The solution to (x^2+2x-48)/(x^2-36) is (x+8)/(x+6)