Solve a^2*a^4+2a*a^1

$$a ^ { 2 } \cdot a ^ { 4 } + 2 a \cdot a ^ { 1 }$$

Evaluate

$$a^{2}\left(a^{4}+2\right)$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$a^{6}+2aa^{1}$$

To multiply powers of the same base, add their exponents. Add 1 and 1 to get 2.

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

Factor

$$a^{2}\left(a^{4}+2\right)$$

Solution Steps

Factor out a.

$$a\left(aa^{4}+2a^{1}\right)$$

Consider a^{5}+2a. Factor out a.

$$a\left(a^{4}+2\right)$$

Rewrite the complete factored expression. Polynomial a^{4}+2 is not factored since it does not have any rational roots.

$$aa\left(a^{4}+2\right)$$