Solve -2^2+(y-2)^2-20

$$- 2 ^ { 2 } + ( y - 2 ) ^ { 2 } - 20$$

Evaluate

$$\left(y-2\right)^{2}-24$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$-4+\left(y-2\right)^{2}-20$$

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

$$-4+y^{2}-4y+4-20$$

Add -4 and 4 to get 0.

$$y^{2}-4y-20$$

Expand

$$y^{2}-4y-20$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$-4+\left(y-2\right)^{2}-20$$

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

$$-4+y^{2}-4y+4-20$$

Add -4 and 4 to get 0.

$$y^{2}-4y-20$$