Simplify (y-3)(3y+5)

$(y - 3) (3 y + 5)$

Expand $(y - 3) (3 y + 5)$ using the FOIL Method.

Tap for more steps…

Apply the distributive property.

$y (3 y + 5) - 3 (3 y + 5)$

Apply the distributive property.

$y (3 y) + y \cdot 5 - 3 (3 y + 5)$

Apply the distributive property.

$y (3 y) + y \cdot 5 - 3 (3 y) - 3 \cdot 5$

Simplify and combine like terms.

Tap for more steps…

Simplify each term.

Tap for more steps…

Rewrite using the commutative property of multiplication.

$3 y \cdot y + y \cdot 5 - 3 (3 y) - 3 \cdot 5$

Multiply $y$ by $y$ by adding the exponents.

Tap for more steps…

Move $y$ .

$3 (y \cdot y) + y \cdot 5 - 3 (3 y) - 3 \cdot 5$

Multiply $y$ by $y$ .

$3 y^{2} + y \cdot 5 - 3 (3 y) - 3 \cdot 5$

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

$3 y^{2} + 5 \cdot y - 3 (3 y) - 3 \cdot 5$

Multiply $3$ by $- 3$ .

$3 y^{2} + 5 y - 9 y - 3 \cdot 5$

Multiply $- 3$ by $5$ .

$3 y^{2} + 5 y - 9 y - 15$

Subtract $9 y$ from $5 y$ .

$3 y^{2} - 4 y - 15$

Simplify (y-3)(3y+5)

Download our
App from the store