Simplify (y-7)(y+3)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

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

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

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

Multiply $- 7$ by $3$ .

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

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

Subtract $7 y$ from $3 y$ .

$y^{2} - 4 y - 21$

$y^{2} - 4 y - 21$

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