What is (3x^2-12)/(9x+18) ?

The solution to (3x^2-12)/(9x+18) is (x-2)/3

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simplify (3x^2-12)/(9x+18)

simplify

\frac{3 x ^{2} - 12}{9 x + 18}

\frac{x - 2}{3}

Solution steps

\frac{3 x ^{2} - 12}{9 x + 18}

Factor

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

= \frac{3 ( x + 2 ) ( x - 2 )}{9 x + 18}

Factor

9 x + 18 : 9 (x + 2)

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

Cancel the common factor:

x + 2

= \frac{3 ( x - 2 )}{9}

Factor the number:

9 = 3 \cdot 3

= \frac{3 ( x - 2 )}{3 \cdot 3}

Cancel the common factor:

3

= \frac{x - 2}{3}

6 + \frac{6}{2}

- 8 (5 b + 2) - 7 (b - 5)

0 - 2

72 x - 8 x