Simplify (y+3)(y+7)

$(y + 3) (y + 7)$

Step 1

Expand $(y + 3) (y + 7)$ using the FOIL Method.

Apply the distributive property.

$y (y + 7) + 3 (y + 7)$

Apply the distributive property.

$y \cdot y + y \cdot 7 + 3 (y + 7)$

Apply the distributive property.

$y \cdot y + y \cdot 7 + 3 y + 3 \cdot 7$

$y \cdot y + y \cdot 7 + 3 y + 3 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot 7 + 3 y + 3 \cdot 7$

Move $7$ to the left of $y$ .

$y^{2} + 7 \cdot y + 3 y + 3 \cdot 7$

Multiply $3$ by $7$ .

$y^{2} + 7 y + 3 y + 21$

$y^{2} + 7 y + 3 y + 21$

Add $7 y$ and $3 y$ .

$y^{2} + 10 y + 21$

$y^{2} + 10 y + 21$

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