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

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

Evaluate

$$-24x-144$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+12\right)^{2}.

$$x^{2}-\left(x^{2}+24x+144\right)$$

To find the opposite of x^{2}+24x+144, find the opposite of each term.

$$x^{2}-x^{2}-24x-144$$

Combine x^{2} and -x^{2} to get 0.

$$-24x-144$$

Expand

$$-24x-144$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+12\right)^{2}.

$$x^{2}-\left(x^{2}+24x+144\right)$$

To find the opposite of x^{2}+24x+144, find the opposite of each term.

$$x^{2}-x^{2}-24x-144$$

Combine x^{2} and -x^{2} to get 0.

$$-24x-144$$