Solve (-a^3)*a^2-(2a^2)*a^4

$$( - a ^ { 3 } ) \times a ^ { 2 } - ( 2 a ^ { 2 } ) \times a ^ { 4 }$$

Evaluate

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

Solution Steps

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

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

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

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

Factor

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

Solution Steps

Factor out a^{2}.

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

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

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

Rewrite the complete factored expression.

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