Simplify f(3+h)-f(3)

$f (3 + h) - f (3)$

Step 1

Simplify each term.

Apply the distributive property.

$f \cdot 3 + f h - f \cdot 3$

Move $3$ to the left of $f$ .

$3 \cdot f + f h - f \cdot 3$

Multiply $3$ by $- 1$ .

$3 f + f h - 3 f$

$3 f + f h - 3 f$

Step 2

Combine the opposite terms in $3 f + f h - 3 f$ .

Subtract $3 f$ from $3 f$ .

$f h + 0$

Add $f h$ and $0$ .

$f h$

$f h$

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