Simplify f(5+h)-f(5)

$f (5 + h) - f (5)$

Simplify each term.

Apply the distributive property.

$f \cdot 5 + f h - f \cdot 5$

Move $5$ to the left of $f$ .

$5 \cdot f + f h - f \cdot 5$

Multiply $5$ by $- 1$ .

$5 f + f h - 5 f$

$5 f + f h - 5 f$

Combine the opposite terms in $5 f + f h - 5 f$ .

Subtract $5 f$ from $5 f$ .

$f h + 0$

Add $f h$ and $0$ .

$f h$

$f h$

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