Simplify (y-9)(y+10)

$(y - 9) (y + 10)$

Step 1

Expand $(y - 9) (y + 10)$ using the FOIL Method.

Apply the distributive property.

$y (y + 10) - 9 (y + 10)$

Apply the distributive property.

$y \cdot y + y \cdot 10 - 9 (y + 10)$

Apply the distributive property.

$y \cdot y + y \cdot 10 - 9 y - 9 \cdot 10$

$y \cdot y + y \cdot 10 - 9 y - 9 \cdot 10$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot 10 - 9 y - 9 \cdot 10$

Move $10$ to the left of $y$ .

$y^{2} + 10 \cdot y - 9 y - 9 \cdot 10$

Multiply $- 9$ by $10$ .

$y^{2} + 10 y - 9 y - 90$

$y^{2} + 10 y - 9 y - 90$

Subtract $9 y$ from $10 y$ .

$y^{2} + y - 90$

$y^{2} + y - 90$

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