Simplify f(2+h)-f(2)

$f (2 + h) - f (2)$

Step 1

Simplify each term.

Apply the distributive property.

$f \cdot 2 + f h - f \cdot 2$

Move $2$ to the left of $f$ .

$2 \cdot f + f h - f \cdot 2$

Multiply $2$ by $- 1$ .

$2 f + f h - 2 f$

$2 f + f h - 2 f$

Step 2

Combine the opposite terms in $2 f + f h - 2 f$ .

Subtract $2 f$ from $2 f$ .

$f h + 0$

Add $f h$ and $0$ .

$f h$

$f h$

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