What is (3x^2-12)/(2x+4) ?

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

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simplify (3x^2-12)/(2x+4)

simplify

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

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

Solution steps

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

Factor

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

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

Factor

2 x + 4 : 2 (x + 2)

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

Cancel the common factor:

x + 2

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

\frac{x ^{3} - a ^{3}}{x - a}

x^{4} x^{5}

2 (3 x + 4) - 3 (x - 2)

\frac{( 12 x ^{2} + 29 x + 15 )}{( 4 x + 3 )}

\frac{3}{5} \times \frac{2}{3}