Solve 5-(3a^2-2a)(6-3a^2+2a)

$$5 - ( 3 a ^ { 2 } - 2 a ) ( 6 - 3 a ^ { 2 } + 2 a )$$

Evaluate

$$\left(3a-5\right)\left(3a+1\right)\left(a^{2}-1\right)$$

Solution Steps

Use the distributive property to multiply 3a^{2}-2a by 6-3a^{2}+2a and combine like terms.

$$5-\left(14a^{2}-9a^{4}+12a^{3}-12a\right)$$

To find the opposite of 14a^{2}-9a^{4}+12a^{3}-12a, find the opposite of each term.

$$5-14a^{2}+9a^{4}-12a^{3}+12a$$

Expand

$$9a^{4}-12a^{3}-14a^{2}+12a+5$$

Solution Steps

Use the distributive property to multiply 3a^{2}-2a by 6-3a^{2}+2a and combine like terms.

$$5-\left(14a^{2}-9a^{4}+12a^{3}-12a\right)$$

To find the opposite of 14a^{2}-9a^{4}+12a^{3}-12a, find the opposite of each term.

$$5-14a^{2}+9a^{4}-12a^{3}+12a$$