Solve -4(4x^2+3)(4x^2-12)

$$-4(4 { x }^{ 2 } +3)(4 { x }^{ 2 } -12)$$

Evaluate

$$144+144x^{2}-64x^{4}$$

Solution Steps

Use the distributive property to multiply -4 by 4x^{2}+3.

$$\left(-16x^{2}-12\right)\left(4x^{2}-12\right)$$

Use the distributive property to multiply -16x^{2}-12 by 4x^{2}-12 and combine like terms.

$$-64x^{4}+144x^{2}+144$$

Expand

$$144+144x^{2}-64x^{4}$$

Solution Steps

Use the distributive property to multiply -4 by 4x^{2}+3.

$$\left(-16x^{2}-12\right)\left(4x^{2}-12\right)$$

Use the distributive property to multiply -16x^{2}-12 by 4x^{2}-12 and combine like terms.

$$-64x^{4}+144x^{2}+144$$