Solve 18a^4-3a^3+6a^2/3a^2-2a(3a-2)

$$\frac { 18 a ^ { 4 } - 3 a ^ { 3 } + 6 a ^ { 2 } } { 3 a ^ { 2 } } - 2 a ( 3 a - 2 )$$

Evaluate

$$3a+2$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{18a^{4}-3a^{3}+6a^{2}}{3a^{2}}.

$$\frac{3a^{2}\left(6a^{2}-a+2\right)}{3a^{2}}-2a\left(3a-2\right)$$

Cancel out 3a^{2} in both numerator and denominator.

$$6a^{2}-a+2-2a\left(3a-2\right)$$

Use the distributive property to multiply -2a by 3a-2.

$$6a^{2}-a+2-6a^{2}+4a$$

Combine 6a^{2} and -6a^{2} to get 0.

$$-a+2+4a$$

Combine -a and 4a to get 3a.

$$3a+2$$

Expand

$$3a+2$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{18a^{4}-3a^{3}+6a^{2}}{3a^{2}}.

$$\frac{3a^{2}\left(6a^{2}-a+2\right)}{3a^{2}}-2a\left(3a-2\right)$$

Cancel out 3a^{2} in both numerator and denominator.

$$6a^{2}-a+2-2a\left(3a-2\right)$$

Use the distributive property to multiply -2a by 3a-2.

$$6a^{2}-a+2-6a^{2}+4a$$

Combine 6a^{2} and -6a^{2} to get 0.

$$-a+2+4a$$

Combine -a and 4a to get 3a.

$$3a+2$$