Simplify (b-2)(b-4)

$(b - 2) (b - 4)$

Step 1

Expand $(b - 2) (b - 4)$ using the FOIL Method.

Apply the distributive property.

$b (b - 4) - 2 (b - 4)$

Apply the distributive property.

$b \cdot b + b \cdot - 4 - 2 (b - 4)$

Apply the distributive property.

$b \cdot b + b \cdot - 4 - 2 b - 2 \cdot - 4$

$b \cdot b + b \cdot - 4 - 2 b - 2 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $b$ by $b$ .

$b^{2} + b \cdot - 4 - 2 b - 2 \cdot - 4$

Move $- 4$ to the left of $b$ .

$b^{2} - 4 \cdot b - 2 b - 2 \cdot - 4$

Multiply $- 2$ by $- 4$ .

$b^{2} - 4 b - 2 b + 8$

$b^{2} - 4 b - 2 b + 8$

Subtract $2 b$ from $- 4 b$ .

$b^{2} - 6 b + 8$

$b^{2} - 6 b + 8$

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