Simplify (r+1)(r-3)

$(r + 1) (r - 3)$

Step 1

Expand $(r + 1) (r - 3)$ using the FOIL Method.

Apply the distributive property.

$r (r - 3) + 1 (r - 3)$

Apply the distributive property.

$r \cdot r + r \cdot - 3 + 1 (r - 3)$

Apply the distributive property.

$r \cdot r + r \cdot - 3 + 1 r + 1 \cdot - 3$

$r \cdot r + r \cdot - 3 + 1 r + 1 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $r$ by $r$ .

$r^{2} + r \cdot - 3 + 1 r + 1 \cdot - 3$

Move $- 3$ to the left of $r$ .

$r^{2} - 3 \cdot r + 1 r + 1 \cdot - 3$

Multiply $r$ by $1$ .

$r^{2} - 3 r + r + 1 \cdot - 3$

Multiply $- 3$ by $1$ .

$r^{2} - 3 r + r - 3$

$r^{2} - 3 r + r - 3$

Add $- 3 r$ and $r$ .

$r^{2} - 2 r - 3$

$r^{2} - 2 r - 3$

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