Solve -2/1+Deltax-2

$$- \frac { 2 } { 1 + \Delta x } - 2$$

Evaluate

$$-\frac{2\left(x\Delta +2\right)}{x\Delta +1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{1+\Delta x}{1+\Delta x}.

$$-\frac{2}{1+\Delta x}-\frac{2\left(1+\Delta x\right)}{1+\Delta x}$$

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

$$\frac{-2-2\left(1+\Delta x\right)}{1+\Delta x}$$

Do the multiplications in -2-2\left(1+\Delta x\right).

$$\frac{-2-2-2\Delta x}{1+\Delta x}$$

Combine like terms in -2-2-2\Delta x.

$$\frac{-4-2\Delta x}{1+\Delta x}$$

Factor

$$-\frac{2\left(x\Delta +2\right)}{x\Delta +1}$$