What is (5z^3+z^2-z)/(3z) ?

The solution to (5z^3+z^2-z)/(3z) is (5z^2+z-1)/3

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simplify (5z^3+z^2-z)/(3z)

simplify

\frac{5 z ^{3} + z ^{2} - z}{3 z}

\frac{5 z ^{2} + z - 1}{3}

Solution steps

\frac{5 z ^{3} + z ^{2} - z}{3 z}

Factor

5 z^{3} + z^{2} - z : z (5 z^{2} + z - 1)

= \frac{z ( 5 z ^{2} + z - 1 )}{3 z}

Cancel the common factor:

z

= \frac{5 z ^{2} + z - 1}{3}

\frac{2 - 5 5}{4 13}

56 - 6

(a + b) (a + b)

4 (2 x - 1) - 3 (x + 5)

\frac{5}{4} + \frac{3}{8}