Simplify (y-3)(y+8)

$(y - 3) (y + 8)$

Step 1

Expand $(y - 3) (y + 8)$ using the FOIL Method.

Apply the distributive property.

$y (y + 8) - 3 (y + 8)$

Apply the distributive property.

$y \cdot y + y \cdot 8 - 3 (y + 8)$

Apply the distributive property.

$y \cdot y + y \cdot 8 - 3 y - 3 \cdot 8$

$y \cdot y + y \cdot 8 - 3 y - 3 \cdot 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot 8 - 3 y - 3 \cdot 8$

Move $8$ to the left of $y$ .

$y^{2} + 8 \cdot y - 3 y - 3 \cdot 8$

Multiply $- 3$ by $8$ .

$y^{2} + 8 y - 3 y - 24$

$y^{2} + 8 y - 3 y - 24$

Subtract $3 y$ from $8 y$ .

$y^{2} + 5 y - 24$

$y^{2} + 5 y - 24$

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