What is (5x^3)/(5x^3-20x^2) ?

The solution to (5x^3)/(5x^3-20x^2) is x/(x-4)

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simplify (5x^3)/(5x^3-20x^2)

simplify

\frac{5 x ^{3}}{5 x ^{3} - 20 x ^{2}}

\frac{x}{x - 4}

Solution steps

\frac{5 x ^{3}}{5 x ^{3} - 20 x ^{2}}

Factor

5 x^{3} - 20 x^{2} : 5 x^{2} (x - 4)

= \frac{5 x ^{3}}{5 x ^{2} ( x - 4 )}

Cancel the common factor:

5

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x^{2} x

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

Cancel the common factor:

x^{2}

= \frac{x}{x - 4}

- 1 - (1)

- x^{0}

lo g_{4} (60)

\frac{11}{12}

(x^{2}) (- 2 x^{2})