Simplify (y-2)(y+4)

$(y - 2) (y + 4)$

Step 1

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

Apply the distributive property.

$y (y + 4) - 2 (y + 4)$

Apply the distributive property.

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

Apply the distributive property.

$y \cdot y + y \cdot 4 - 2 y - 2 \cdot 4$

$y \cdot y + y \cdot 4 - 2 y - 2 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

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

Move $4$ to the left of $y$ .

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

Multiply $- 2$ by $4$ .

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

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

Subtract $2 y$ from $4 y$ .

$y^{2} + 2 y - 8$

$y^{2} + 2 y - 8$

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