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

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

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

simplify

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

3 x - 18

Solution steps

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

Factor

3 x^{2} - 12 x - 36 : 3 (x^{2} - 4 x - 12)

= \frac{3 ( x ^{2} - 4 x - 12 )}{x + 2}

Factor

x^{2} - 4 x - 12 : (x + 2) (x - 6)

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

Cancel the common factor:

x + 2

= 3 (x - 6)

Expand

3 (x - 6) : 3 x - 18

= 3 x - 18

\frac{15}{25}

15 \times \frac{4}{5}

\frac{4}{7 - 5}

\frac{3 y + \frac{4}{y + 1}}{2 y - \frac{3}{y}}

5 + \frac{1}{75} (x - 125)