# Precalculus Examples

Consider the difference quotient formula. Use this formula to solve for the slope of the secant line .

Evaluate the function at .

Replace the variable with in the expression.

Simplify the result.

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Remove parentheses.

Simplify and combine like terms.

Simplify each term.

Use the power rule to combine exponents.

Add and .

Use the power rule to combine exponents.

Add and .

Add and .

Reorder and .

Add and .

Apply the distributive property.

Simplify the expression.

Multiply by .

Remove parentheses around .

The final answer is .

Find the components of the definition.

Plug in the components.

Simplify the numerator.

Group the last three terms.

Remove unnecessary parentheses.

Multiply by .

Remove parentheses.

Remove parentheses.

Subtract from .

Add and .

Factor out of .

Simplify terms.

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Apply the distributive property.

Multiply by .