What is (3a^3-6a^2b+9ab^2)/(3a) ?

The solution to (3a^3-6a^2b+9ab^2)/(3a) is a^2-2ab+3b^2

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simplify (3a^3-6a^2b+9ab^2)/(3a)

simplify

\frac{3 a ^{3} - 6 a ^{2} b + 9 a b ^{2}}{3 a}

a^{2} - 2 ab + 3 b^{2}

Solution steps

\frac{3 a ^{3} - 6 a ^{2} b + 9 a b ^{2}}{3 a}

Factor

3 a^{3} - 6 a^{2} b + 9 a b^{2} : 3 a (a^{2} - 2 ab + 3 b^{2})

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

Cancel the common factor:

3

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

Cancel the common factor:

a

= a^{2} - 2 ab + 3 b^{2}

- i (- i)

- 4 + (- 7)

\frac{2}{s ^{2} + 4 s + 8} + \frac{1}{s + 2}

\frac{e ^{- 4} \cdot 4 ^{1}}{1 !}

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

What is (3a^3-6a^2b+9ab^2)/(3a) ?
The solution to (3a^3-6a^2b+9ab^2)/(3a) is a^2-2ab+3b^2