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

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

Evaluate

$$16-a^{4}$$

Solution Steps

Use the distributive property to multiply a+2 by 2-a and combine like terms.

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

Use the distributive property to multiply -a^{2}+4 by a^{2}+4 and combine like terms.

$$-a^{4}+16$$

Expand

$$16-a^{4}$$

Solution Steps

Use the distributive property to multiply a+2 by 2-a and combine like terms.

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

Use the distributive property to multiply -a^{2}+4 by a^{2}+4 and combine like terms.

$$-a^{4}+16$$