What is (x^2+3x-18)/(x^2+12x+36) ?

The solution to (x^2+3x-18)/(x^2+12x+36) is (x-3)/(x+6)

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simplify (x^2+3x-18)/(x^2+12x+36)

simplify

\frac{x ^{2} + 3 x - 18}{x ^{2} + 12 x + 36}

\frac{x - 3}{x + 6}

Solution steps

\frac{x ^{2} + 3 x - 18}{x ^{2} + 12 x + 36}

Factor

x^{2} + 3 x - 18 : (x - 3) (x + 6)

= \frac{( x - 3 ) ( x + 6 )}{x ^{2} + 12 x + 36}

Factor

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

= \frac{( x - 3 ) ( x + 6 )}{( x + 6 ) ^{2}}

Apply exponent rule:

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

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

= \frac{( x - 3 ) ( x + 6 )}{( x + 6 ) ( x + 6 )}

Cancel the common factor:

x + 6

= \frac{x - 3}{x + 6}

(\frac{a}{b})^{n}

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

cot^{2} (θ) (1 + tan^{2} (θ))

\frac{( 2 x ^{3} ) ( 3 x ^{2} )}{( x ^{2} ) ^{3}}

What is (x^2+3x-18)/(x^2+12x+36) ?
The solution to (x^2+3x-18)/(x^2+12x+36) is (x-3)/(x+6)