Simplify (b-2)(b+1)

$(b - 2) (b + 1)$

Step 1

Expand $(b - 2) (b + 1)$ using the FOIL Method.

Apply the distributive property.

$b (b + 1) - 2 (b + 1)$

Apply the distributive property.

$b \cdot b + b \cdot 1 - 2 (b + 1)$

Apply the distributive property.

$b \cdot b + b \cdot 1 - 2 b - 2 \cdot 1$

$b \cdot b + b \cdot 1 - 2 b - 2 \cdot 1$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $b$ by $b$ .

$b^{2} + b \cdot 1 - 2 b - 2 \cdot 1$

Multiply $b$ by $1$ .

$b^{2} + b - 2 b - 2 \cdot 1$

Multiply $- 2$ by $1$ .

$b^{2} + b - 2 b - 2$

$b^{2} + b - 2 b - 2$

Subtract $2 b$ from $b$ .

$b^{2} - b - 2$

$b^{2} - b - 2$

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