Answer:
Explanation:
To solve this problem you are going to need to know the FOIL operation
FOIL stands for first, outside, inside, last (and it represents the order in which you should multiply each term)
so for this problem (3x+2)(2x-5), you would want to follow the FOIL process to expand, and then we can simplify
FIRST:
- for this step, you should multiply each of the FIRST terms from each quantity
- so in your problem, you would multiply 3x*2x
- this will equal 6x^2
OUTSIDE
- for this step, you should multiply the outside terms in each quantity
- so we multiply 3x*-5
- this will equal -15x
INSIDE
- inside terms are multiplied
- 2*2x
= 4x
LAST
- last terms are multiplied
- 2*-5
= -10
so now we have all of our terms:
6x^2-15x+4x-10
and now you combine like terms
6x^2 (-15x+4x) - 10
= 6x^2 - 11x - 10