Evaluate (f+g)(-1)

$(f + g) (- 1)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$f \cdot - 1 + g \cdot - 1$

Reorder.

Move $- 1$ to the left of $f$ .

$- 1 \cdot f + g \cdot - 1$

Move $- 1$ to the left of $g$ .

$- 1 \cdot f - 1 \cdot g$

$- 1 \cdot f - 1 \cdot g$

$- 1 \cdot f - 1 \cdot g$

Step 2

Simplify each term.

Rewrite $- 1 f$ as $- f$ .

$- f - 1 \cdot g$

Rewrite $- 1 g$ as $- g$ .

$- f - g$

$- f - g$

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