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

The solution to (3a^2-3a-6)/(3a^2-3) is (a-2)/(a-1)

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

simplify

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

\frac{a - 2}{a - 1}

Solution steps

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

Factor

3 a^{2} - 3 a - 6 : 3 (a + 1) (a - 2)

= \frac{3 ( a + 1 ) ( a - 2 )}{3 a ^{2} - 3}

Factor

3 a^{2} - 3 : 3 (a + 1) (a - 1)

= \frac{3 ( a + 1 ) ( a - 2 )}{3 ( a + 1 ) ( a - 1 )}

Cancel the common factor:

3

= \frac{( a + 1 ) ( a - 2 )}{( a + 1 ) ( a - 1 )}

Cancel the common factor:

a + 1

= \frac{a - 2}{a - 1}

(\frac{3 ^{- 1} 2 ^{\frac{1}{4}}}{3 ^{- 2} 2 ^{\frac{1}{2}}})^{- 2}

sin^{2} (θ) + cos^{2} (θ)

sin^{4} (x) - cos^{4} (x)

\frac{2 x + 1}{x} + \frac{3}{x ^{2}}

\frac{1}{8} \cdot 1 0^{- 2}

What is (3a^2-3a-6)/(3a^2-3) ?
The solution to (3a^2-3a-6)/(3a^2-3) is (a-2)/(a-1)