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

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

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simplify (9a^3+6a)/(3a^2)

simplify

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

\frac{3 a ^{2} + 2}{a}

Solution steps

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

Factor

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

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

Cancel the common factor:

3

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

Apply exponent rule:

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

a^{2} = aa

= \frac{a ( 3 a ^{2} + 2 )}{aa}

Cancel the common factor:

a

= \frac{3 a ^{2} + 2}{a}

(2 - 7)^{2}

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

(5 x^{3} y^{4})^{4}

- 3^{2} + 2^{2}