What is (3a^2-12)/(6a+12) ?

The solution to (3a^2-12)/(6a+12) is (a-2)/2

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simplify (3a^2-12)/(6a+12)

simplify

\frac{3 a ^{2} - 12}{6 a + 12}

\frac{a - 2}{2}

Solution steps

\frac{3 a ^{2} - 12}{6 a + 12}

Factor

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

= \frac{3 ( a + 2 ) ( a - 2 )}{6 a + 12}

Factor

6 a + 12 : 6 (a + 2)

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

Cancel the common factor:

a + 2

= \frac{3 ( a - 2 )}{6}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

= \frac{a - 2}{2}

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(2 y - 5)^{7}

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f \cdot g (- 4)

(\frac{3 x - 1}{2 y + 2 z})^{2}