What is (-15k^2)/(15k^3+45k^2) ?

The solution to (-15k^2)/(15k^3+45k^2) is -1/(k+3)

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simplify (-15k^2)/(15k^3+45k^2)

simplify

\frac{- 15 k ^{2}}{15 k ^{3} + 45 k ^{2}}

- \frac{1}{k + 3}

Solution steps

\frac{- 15 k ^{2}}{15 k ^{3} + 45 k ^{2}}

Factor

15 k^{3} + 45 k^{2} : 15 k^{2} (k + 3)

= \frac{- 15 k ^{2}}{15 k ^{2} ( k + 3 )}

Cancel the common factor:

15

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

Cancel the common factor:

k^{2}

= \frac{- 1}{k + 3}

Apply the fraction rule:

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

= - \frac{1}{k + 3}

- 3 x + 2 > 17 or - 5 x + 3 \leq 13

8 x + 4 (- 6 x + 4) = - 6 - 5 x

4 = - 2 (x + 3)

\frac{- 5 - 2 i}{4 + 3 i}

(3 + 2 - x)^{2} = 4

What is (-15k^2)/(15k^3+45k^2) ?
The solution to (-15k^2)/(15k^3+45k^2) is -1/(k+3)