What is (-x+7)/(3x^3-21x^2) ?

The solution to (-x+7)/(3x^3-21x^2) is -1/(3x^2)

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simplify (-x+7)/(3x^3-21x^2)

simplify

\frac{- x + 7}{3 x ^{3} - 21 x ^{2}}

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

Solution steps

\frac{- x + 7}{3 x ^{3} - 21 x ^{2}}

Factor

3 x^{3} - 21 x^{2} : 3 x^{2} (x - 7)

= \frac{- x + 7}{3 x ^{2} ( x - 7 )}

Factor

- x + 7 : - (x - 7)

= \frac{- ( x - 7 )}{3 x ^{2} ( x - 7 )}

Cancel the common factor:

x - 7

= \frac{- 1}{3 x ^{2}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{3 x ^{2}}

\frac{65}{12}

y^{- \frac{3}{2}} \cdot y^{- 1}

\frac{3}{8} \cdot \frac{6}{7}

2 b - 3 + 1

(27 + 8)^{2}