Solve x^2-(x-2)^2=4

$$x ^ { 2 } - ( x - 2 ) ^ { 2 } = 4$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

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

To find the opposite of x^{2}-4x+4, find the opposite of each term.

$$x^{2}-x^{2}+4x-4=4$$

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

$$4x-4=4$$

Add 4 to both sides.

$$4x=4+4$$

Add 4 and 4 to get 8.

$$4x=8$$

Divide both sides by 4.

$$x=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$x=2$$