Solve Pt-P^0/2/P^0-2(frac{Pt{P^0})}

$$\frac { \frac { P t - P ^ { 0 } } { 2 } } { P ^ { 0 } - 2 ( \frac { P t } { P ^ { 0 } } ) }$$

Evaluate

$$\frac{Pt-1}{2\left(1-2Pt\right)}$$

Short Solution Steps

Calculate P to the power of 0 and get 1.

$$\frac{\frac{Pt-1}{2}}{P^{0}-2\times \frac{Pt}{P^{0}}}$$

Calculate P to the power of 0 and get 1.

$$\frac{\frac{Pt-1}{2}}{1-2\times \frac{Pt}{P^{0}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\frac{Pt-1}{2}}{1-2tP^{1}}$$

Calculate P to the power of 1 and get P.

$$\frac{\frac{Pt-1}{2}}{1-2tP}$$

Express \frac{\frac{Pt-1}{2}}{1-2tP} as a single fraction.

$$\frac{Pt-1}{2\left(1-2tP\right)}$$

Use the distributive property to multiply 2 by 1-2tP.

$$\frac{Pt-1}{2-4tP}$$

Factor

$$\frac{Pt-1}{2\left(1-2Pt\right)}$$