Solve (a^2)(a^3)+(2a^2)(a^4)

$$( a ^ { 2 } ) ( a ^ { 3 } ) + ( 2 a ^ { 2 } ) ( a ^ { 4 } )$$

Evaluate

$$\left(2a+1\right)a^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$a^{5}+2a^{2}a^{4}$$

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

$$a^{5}+2a^{6}$$

Factor

$$\left(2a+1\right)a^{5}$$

Solution Steps

Factor out a^{2}.

$$a^{2}\left(a^{3}+2a^{4}\right)$$

Consider a^{3}+2a^{4}. Factor out a^{3}.

$$a^{3}\left(1+2a\right)$$

Rewrite the complete factored expression.

$$a^{2}a^{3}\left(2a+1\right)$$