How do i expand and simplify

(2x+5) (3x-4)
6x^2-8x+15x-20
6x^2+7x-20
Is this right??

Looks good!

yes

Yes

To expand and simplify the expression (2x+5)(3x-4), you should use the distributive property. This property states that for any numbers a, b, and c, the expression (a+b)(c) is equal to ac + bc.

In this case, let's apply the distributive property:

(2x + 5)(3x - 4) = 2x(3x) + 2x(-4) + 5(3x) + 5(-4)

Now, simplify each term:

= 6x^2 - 8x + 15x - 20

Combining like terms, we get:

= 6x^2 + 7x - 20

So, your simplification is correct. The expanded and simplified form of (2x+5)(3x-4) is 6x^2 + 7x - 20.