3x(x-2)-5x(x+3)

To simplify the expression 3x(x-2)-5x(x+3), we can apply the distributive property and combine like terms.

First, distribute 3x to both terms inside the parentheses (x-2):

3x * x = 3x^2 3x * -2 = -6x

Next, distribute -5x to both terms inside the parentheses (x+3):

-5x * x = -5x^2 -5x * 3 = -15x

Now, let's combine the like terms:

3x^2 - 6x - 5x^2 - 15x

Combine the x^2 terms:

(3x^2 - 5x^2) - 6x - 15x -2x^2 - 6x - 15x

Combine the x terms:

-2x^2 - (6x + 15x) -2x^2 - 21x

So, the simplified expression is -2x^2 - 21x.