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

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

Evaluate

$$64x^{4}-240x^{2}+144$$

Solution Steps

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

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

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

$$-240x^{2}+144+64x^{4}$$

Expand

$$64x^{4}-240x^{2}+144$$

Solution Steps

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

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

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

$$-240x^{2}+144+64x^{4}$$