Solve 40000/(200+200)^2-40,000/(0+200)^2=

$$\frac { 40000 } { ( 200 + 200 ) ^ { 2 } } - \frac { 40,000 } { ( 0 + 200 ) ^ { 2 } } =$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

Add 200 and 200 to get 400.

$$\frac{40000}{400^{2}}-\frac{40000}{\left(0+200\right)^{2}}$$

Calculate 400 to the power of 2 and get 160000.

$$\frac{40000}{160000}-\frac{40000}{\left(0+200\right)^{2}}$$

Reduce the fraction \frac{40000}{160000} to lowest terms by extracting and canceling out 40000.

$$\frac{1}{4}-\frac{40000}{\left(0+200\right)^{2}}$$

Add 0 and 200 to get 200.

$$\frac{1}{4}-\frac{40000}{200^{2}}$$

Calculate 200 to the power of 2 and get 40000.

$$\frac{1}{4}-\frac{40000}{40000}$$

Divide 40000 by 40000 to get 1.

$$\frac{1}{4}-1$$

Subtract 1 from \frac{1}{4} to get -\frac{3}{4}.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$