Solve B^2+AB-B/B+A-1

$$\frac { B ^ { 2 } + A B - B } { B + A - 1 }$$

Evaluate

$$B$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{B\left(A+B-1\right)}{A+B-1}$$

Cancel out A+B-1 in both numerator and denominator.

$$B$$

Differentiate w.r.t. B

$$1$$

Steps Using Definition of a Derivative

Factor the expressions that are not already factored in \frac{B^{2}+AB-B}{B+A-1}.

$$\frac{\mathrm{d}}{\mathrm{d}B}(\frac{B\left(A+B-1\right)}{A+B-1})$$

Cancel out A+B-1 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}B}(B)$$

The derivative of ax^{n} is nax^{n-1}.

$$B^{1-1}$$

Subtract 1 from 1.

$$B^{0}$$

For any term t except 0, t^{0}=1.

$$1$$