Simplify (y+2)(y-3)

$(y + 2) (y - 3)$

Step 1

Expand $(y + 2) (y - 3)$ using the FOIL Method.

Apply the distributive property.

$y (y - 3) + 2 (y - 3)$

Apply the distributive property.

$y \cdot y + y \cdot - 3 + 2 (y - 3)$

Apply the distributive property.

$y \cdot y + y \cdot - 3 + 2 y + 2 \cdot - 3$

$y \cdot y + y \cdot - 3 + 2 y + 2 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot - 3 + 2 y + 2 \cdot - 3$

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

$y^{2} - 3 \cdot y + 2 y + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$y^{2} - 3 y + 2 y - 6$

$y^{2} - 3 y + 2 y - 6$

Add $- 3 y$ and $2 y$ .

$y^{2} - y - 6$

$y^{2} - y - 6$

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