What is (x^2+x-12)/(x^2-6x+9) ?

The solution to (x^2+x-12)/(x^2-6x+9) is (x+4)/(x-3)

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simplify (x^2+x-12)/(x^2-6x+9)

simplify

\frac{x ^{2} + x - 12}{x ^{2} - 6 x + 9}

\frac{x + 4}{x - 3}

Solution steps

\frac{x ^{2} + x - 12}{x ^{2} - 6 x + 9}

Factor

x^{2} + x - 12 : (x - 3) (x + 4)

= \frac{( x - 3 ) ( x + 4 )}{x ^{2} - 6 x + 9}

Factor

x^{2} - 6 x + 9 : (x - 3)^{2}

= \frac{( x - 3 ) ( x + 4 )}{( x - 3 ) ^{2}}

Apply exponent rule:

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

(x - 3)^{2} = (x - 3) (x - 3)

= \frac{( x - 3 ) ( x + 4 )}{( x - 3 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x + 4}{x - 3}

60 \div 6

(4 x - 3)^{5}

\frac{1}{2} \cdot 2 \cdot 3

\frac{1}{3 c} - \frac{1}{3 d}

\frac{2 x ^{2} - 10 x}{4 x}

What is (x^2+x-12)/(x^2-6x+9) ?
The solution to (x^2+x-12)/(x^2-6x+9) is (x+4)/(x-3)