Simplify (y+4)(y+3)

$(y + 4) (y + 3)$

Step 1

Expand $(y + 4) (y + 3)$ using the FOIL Method.

Apply the distributive property.

$y (y + 3) + 4 (y + 3)$

Apply the distributive property.

$y \cdot y + y \cdot 3 + 4 (y + 3)$

Apply the distributive property.

$y \cdot y + y \cdot 3 + 4 y + 4 \cdot 3$

$y \cdot y + y \cdot 3 + 4 y + 4 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot 3 + 4 y + 4 \cdot 3$

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

$y^{2} + 3 \cdot y + 4 y + 4 \cdot 3$

Multiply $4$ by $3$ .

$y^{2} + 3 y + 4 y + 12$

$y^{2} + 3 y + 4 y + 12$

Add $3 y$ and $4 y$ .

$y^{2} + 7 y + 12$

$y^{2} + 7 y + 12$

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