Solve a+2a^2+3a^3-a-a^2-a^3

$$a + 2 a ^ { 2 } + 3 a ^ { 3 } - a - a ^ { 2 } - a ^ { 3 }$$

Evaluate

$$\left(2a+1\right)a^{2}$$

Solution Steps

Combine a and -a to get 0.

$$2a^{2}+3a^{3}-a^{2}-a^{3}$$

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

$$a^{2}+3a^{3}-a^{3}$$

Combine 3a^{3} and -a^{3} to get 2a^{3}.

$$a^{2}+2a^{3}$$

Factor

$$\left(2a+1\right)a^{2}$$

Solution Steps

Factor out a.

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

Consider 1+2a+3a^{2}-1-a-a^{2}. Multiply and combine like terms.

$$2a^{2}+a$$

Consider 2a^{2}+a. Factor out a.

$$a\left(2a+1\right)$$

Rewrite the complete factored expression.

$$aa\left(2a+1\right)$$