how to slove (2y+5)(y-3)

2y(y-3) + 5(y-3) distributive property

2 y^2 -6y +5y -15

= 2 y^2 -y -15

To solve the expression (2y+5)(y-3), we need to use the distributive property.

First, distribute the first term, 2y, to both terms inside the second parentheses:

2y * y = 2y^2

2y * -3 = -6y

Next, distribute the second term, 5, to both terms inside the second parentheses:

5 * y = 5y

5 * -3 = -15

Now, simplify the expression by combining like terms:

2y^2 + 5y - 6y - 15

Combine the like terms -6y and 5y:

2y^2 - y - 15

Therefore, the simplified expression is 2y^2 - y - 15.