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

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

Evaluate

$$-2\left(a-8\right)\left(a-3\right)\left(a+1\right)$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\left(-16+2a\right)\left(-a^{2}+2a+3\right)$$

Use the distributive property to multiply -16+2a by -a^{2}+2a+3 and combine like terms.

$$-16\left(-a^{2}\right)-26a-48+2a\left(-a^{2}\right)+4a^{2}$$

Multiply -16 and -1 to get 16.

$$16a^{2}-26a-48+2a\left(-a^{2}\right)+4a^{2}$$

Combine 16a^{2} and 4a^{2} to get 20a^{2}.

$$20a^{2}-26a-48+2a\left(-a^{2}\right)$$

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

$$20a^{2}-26a-48+2a^{3}\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$20a^{2}-26a-48-2a^{3}$$

Expand

$$-2a^{3}+20a^{2}-26a-48$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\left(-16+2a\right)\left(-a^{2}+2a+3\right)$$

Use the distributive property to multiply -16+2a by -a^{2}+2a+3 and combine like terms.

$$-16\left(-a^{2}\right)-26a-48+2a\left(-a^{2}\right)+4a^{2}$$

Multiply -16 and -1 to get 16.

$$16a^{2}-26a-48+2a\left(-a^{2}\right)+4a^{2}$$

Combine 16a^{2} and 4a^{2} to get 20a^{2}.

$$20a^{2}-26a-48+2a\left(-a^{2}\right)$$

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

$$20a^{2}-26a-48+2a^{3}\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$20a^{2}-26a-48-2a^{3}$$