Solve p^2+1/p+1-p=

$$\frac { p ^ { 2 } + 1 } { p + 1 } - p =$$

Evaluate

$$\frac{1-p}{p+1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply p times \frac{p+1}{p+1}.

$$\frac{p^{2}+1}{p+1}-\frac{p\left(p+1\right)}{p+1}$$

Since \frac{p^{2}+1}{p+1} and \frac{p\left(p+1\right)}{p+1} have the same denominator, subtract them by subtracting their numerators.

$$\frac{p^{2}+1-p\left(p+1\right)}{p+1}$$

Do the multiplications in p^{2}+1-p\left(p+1\right).

$$\frac{p^{2}+1-p^{2}-p}{p+1}$$

Combine like terms in p^{2}+1-p^{2}-p.

$$\frac{1-p}{p+1}$$

Expand

$$\frac{1-p}{p+1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply p times \frac{p+1}{p+1}.

$$\frac{p^{2}+1}{p+1}-\frac{p\left(p+1\right)}{p+1}$$

Since \frac{p^{2}+1}{p+1} and \frac{p\left(p+1\right)}{p+1} have the same denominator, subtract them by subtracting their numerators.

$$\frac{p^{2}+1-p\left(p+1\right)}{p+1}$$

Do the multiplications in p^{2}+1-p\left(p+1\right).

$$\frac{p^{2}+1-p^{2}-p}{p+1}$$

Combine like terms in p^{2}+1-p^{2}-p.

$$\frac{1-p}{p+1}$$