What is (15a^3-5ab-10a^2b^2)/(-5ab) ?

The solution to (15a^3-5ab-10a^2b^2)/(-5ab) is -(3a^2-b-2ab^2)/b

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simplify (15a^3-5ab-10a^2b^2)/(-5ab)

simplify

\frac{15 a ^{3} - 5 ab - 10 a ^{2} b ^{2}}{- 5 ab}

- \frac{3 a ^{2} - b - 2 a b ^{2}}{b}

Solution steps

\frac{15 a ^{3} - 5 ab - 10 a ^{2} b ^{2}}{- 5 ab}

Factor

15 a^{3} - 5 ab - 10 a^{2} b^{2} : 5 a (3 a^{2} - b - 2 a b^{2})

= \frac{5 a ( 3 a ^{2} - b - 2 a b ^{2} )}{- 5 ab}

Cancel the common factor:

5

= \frac{a ( 3 a ^{2} - b - 2 a b ^{2} )}{- ab}

Cancel the common factor:

a

= \frac{3 a ^{2} - b - 2 a b ^{2}}{- b}

Apply the fraction rule:

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

= - \frac{3 a ^{2} - b - 2 a b ^{2}}{b}

\frac{44}{5}

2 \frac{7}{8}

27 + 3

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

What is (15a^3-5ab-10a^2b^2)/(-5ab) ?
The solution to (15a^3-5ab-10a^2b^2)/(-5ab) is -(3a^2-b-2ab^2)/b