Simplify (y+4)(y-5)

$(y + 4) (y - 5)$

Step 1

Expand $(y + 4) (y - 5)$ using the FOIL Method.

Apply the distributive property.

$y (y - 5) + 4 (y - 5)$

Apply the distributive property.

$y \cdot y + y \cdot - 5 + 4 (y - 5)$

Apply the distributive property.

$y \cdot y + y \cdot - 5 + 4 y + 4 \cdot - 5$

$y \cdot y + y \cdot - 5 + 4 y + 4 \cdot - 5$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot - 5 + 4 y + 4 \cdot - 5$

Move $- 5$ to the left of $y$ .

$y^{2} - 5 \cdot y + 4 y + 4 \cdot - 5$

Multiply $4$ by $- 5$ .

$y^{2} - 5 y + 4 y - 20$

$y^{2} - 5 y + 4 y - 20$

Add $- 5 y$ and $4 y$ .

$y^{2} - y - 20$

$y^{2} - y - 20$

Related Questions