Simplify (y+3)(y-6)

$(y + 3) (y - 6)$

Step 1

Expand $(y + 3) (y - 6)$ using the FOIL Method.

Apply the distributive property.

$y (y - 6) + 3 (y - 6)$

Apply the distributive property.

$y \cdot y + y \cdot - 6 + 3 (y - 6)$

Apply the distributive property.

$y \cdot y + y \cdot - 6 + 3 y + 3 \cdot - 6$

$y \cdot y + y \cdot - 6 + 3 y + 3 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

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

Move $- 6$ to the left of $y$ .

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

Multiply $3$ by $- 6$ .

$y^{2} - 6 y + 3 y - 18$

$y^{2} - 6 y + 3 y - 18$

Add $- 6 y$ and $3 y$ .

$y^{2} - 3 y - 18$

$y^{2} - 3 y - 18$

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