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

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

Evaluate

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

Solution Steps

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

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

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

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

Use the distributive property to multiply 3a^{3}-9a^{2} by -3a+9 and combine like terms.

$$-9a^{4}+54a^{3}-81a^{2}$$

Expand

$$-9a^{4}+54a^{3}-81a^{2}$$

Solution Steps

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

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

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

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

Use the distributive property to multiply 3a^{3}-9a^{2} by -3a+9 and combine like terms.

$$-9a^{4}+54a^{3}-81a^{2}$$