Solve 144x^2-left(32x-4right)^2

$$144 { x }^{ 2 } - { \left(32x-4 \right) }^{ 2 }$$

Evaluate

$$-880x^{2}+256x-16$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(32x-4\right)^{2}.

$$144x^{2}-\left(1024x^{2}-256x+16\right)$$

To find the opposite of 1024x^{2}-256x+16, find the opposite of each term.

$$144x^{2}-1024x^{2}+256x-16$$

Combine 144x^{2} and -1024x^{2} to get -880x^{2}.

$$-880x^{2}+256x-16$$

Expand

$$-880x^{2}+256x-16$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(32x-4\right)^{2}.

$$144x^{2}-\left(1024x^{2}-256x+16\right)$$

To find the opposite of 1024x^{2}-256x+16, find the opposite of each term.

$$144x^{2}-1024x^{2}+256x-16$$

Combine 144x^{2} and -1024x^{2} to get -880x^{2}.

$$-880x^{2}+256x-16$$