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

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

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

simplify

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

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

Solution steps

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

Factor

x^{2} + 12 x + 36 : (x + 6)^{2}

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

Factor

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

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 6)^{2} = (x + 6) (x + 6)

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

Cancel the common factor:

x + 6

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

524 \cdot 310

\frac{2 x ^{2} - 3 x - 2}{6 x + 3} \cdot \frac{3 x + 6}{x ^{2} - 4}

17 \times 17

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