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

The solution to (3x-12)/(3x^2-12x) is 1/x

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

simplify

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

\frac{1}{x}

Solution steps

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

Factor

3 x - 12 : 3 (x - 4)

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

Factor

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

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

Cancel the common factor:

3

= \frac{x - 4}{x ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{1}{x}

\frac{x ^{2} - 10 x + 21}{x ^{2} - 5 x + 6}

m^{- 4}

e^{x} (- e^{- x})

2 \cdot π \cdot 4

\frac{x ^{m} y ^{n}}{2 x ^{3} y}