Algebra Examples

,
Step 1
Consider the difference quotient formula.
Step 2
Find the components of the definition.
Tap for more steps...
Step 2.1
Evaluate the function at .
Tap for more steps...
Step 2.1.1
Replace the variable with in the expression.
Step 2.1.2
Simplify the result.
Tap for more steps...
Step 2.1.2.1
Apply the distributive property.
Step 2.1.2.2
The final answer is .
Step 2.2
Reorder and .
Step 2.3
Find the components of the definition.
Step 3
Plug in the components.
Step 4
Simplify.
Tap for more steps...
Step 4.1
Simplify the numerator.
Tap for more steps...
Step 4.1.1
Factor out of .
Tap for more steps...
Step 4.1.1.1
Factor out of .
Step 4.1.1.2
Factor out of .
Step 4.1.1.3
Factor out of .
Step 4.1.2
Multiply by .
Step 4.1.3
Factor out of .
Tap for more steps...
Step 4.1.3.1
Factor out of .
Step 4.1.3.2
Factor out of .
Step 4.1.3.3
Factor out of .
Step 4.1.3.4
Factor out of .
Step 4.1.3.5
Factor out of .
Step 4.1.3.6
Factor out of .
Step 4.1.3.7
Factor out of .
Step 4.1.4
Apply the distributive property.
Step 4.1.5
Multiply by .
Step 4.1.6
Subtract from .
Step 4.1.7
Add and .
Step 4.1.8
Subtract from .
Step 4.1.9
Add and .
Step 4.2
Cancel the common factor of .
Tap for more steps...
Step 4.2.1
Cancel the common factor.
Step 4.2.2
Divide by .
Step 5
Enter YOUR Problem
Mathway requires javascript and a modern browser.