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

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

Evaluate

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

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.

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

Expand

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

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.

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