Algebra Examples

$\frac{f (- 1) - f (- 2)}{(- 1) - (- 2)}$

Step 1

Simplify the numerator.

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Step 1.1

Factor $f$ out of $f (- 1) - f \cdot - 2$ .

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Step 1.1.1

Factor $f$ out of $- f \cdot - 2$ .

$\frac{f (- 1) + f (- 1 \cdot - 2)}{- 1 - (- 2)}$

Step 1.1.2

Factor $f$ out of $f (- 1) + f (- 1 \cdot - 2)$ .

$\frac{f (- 1 - 1 \cdot - 2)}{- 1 - (- 2)}$

$\frac{f (- 1 - 1 \cdot - 2)}{- 1 - (- 2)}$

Step 1.2

Multiply $- 1$ by $- 2$ .

$\frac{f (- 1 + 2)}{- 1 - (- 2)}$

Step 1.3

Add $- 1$ and $2$ .

$\frac{f \cdot 1}{- 1 - (- 2)}$

$\frac{f \cdot 1}{- 1 - (- 2)}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $- 1$ by $- 2$ .

$\frac{f \cdot 1}{- 1 + 2}$

Step 2.2

Add $- 1$ and $2$ .

$\frac{f \cdot 1}{1}$

$\frac{f \cdot 1}{1}$

Step 3

Simplify.

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Step 3.1

Multiply $f$ by $1$ .

$\frac{f}{1}$

Step 3.2

Divide $f$ by $1$ .

$f$

$f$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$