Solve 3a^2(-a+9a^2-21)

$$3 a ^ { 2 } ( - a + 9 a ^ { 2 } - 21 )$$

Evaluate

$$3a^{2}\left(9a^{2}-a-21\right)$$

Solution Steps

Use the distributive property to multiply 3a^{2} by -a+9a^{2}-21.

$$3a^{2}\left(-a\right)+27a^{4}-63a^{2}$$

Multiply 3 and -1 to get -3.

$$-3a^{2}a+27a^{4}-63a^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-3a^{3}+27a^{4}-63a^{2}$$

Expand

$$27a^{4}-3a^{3}-63a^{2}$$

Solution Steps

Use the distributive property to multiply 3a^{2} by -a+9a^{2}-21.

$$3a^{2}\left(-a\right)+27a^{4}-63a^{2}$$

Multiply 3 and -1 to get -3.

$$-3a^{2}a+27a^{4}-63a^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-3a^{3}+27a^{4}-63a^{2}$$