What is (x^2+8x+12)/(x^2-36) ?

The solution to (x^2+8x+12)/(x^2-36) is (x+2)/(x-6)

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simplify (x^2+8x+12)/(x^2-36)

simplify

\frac{x ^{2} + 8 x + 12}{x ^{2} - 36}

\frac{x + 2}{x - 6}

Solution steps

\frac{x ^{2} + 8 x + 12}{x ^{2} - 36}

Factor

x^{2} + 8 x + 12 : (x + 2) (x + 6)

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

Factor

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

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

Cancel the common factor:

x + 6

= \frac{x + 2}{x - 6}

(- 9 - 24) (7 - 12)

\frac{4 ( h ^{4} ) ^{4}}{12 h}

lo g_{2} ((2 + x)^{\frac{1}{2}}) + lo g_{3} ((2 + x)^{5})

a^{2} - 4 a + 3

(a^{x + 1} + \frac{1}{2} b^{x})^{3}

What is (x^2+8x+12)/(x^2-36) ?
The solution to (x^2+8x+12)/(x^2-36) is (x+2)/(x-6)