Question

Multiply (x−3)(x+2)

Answer 1

x^2 - x - 6

Explanation:

(x - 3) (x + 2)

1. you can use the distributive property and multiply
2. first, you multiply the first x by the second x.
3. that would be x^2.
4. then, you multiply the first x by 2.
5. which is 2x. by now you should have x^2 + 2x.
6. now, you multiply -3 by the second x.
7. this equals -3x.
8. now, you have x^2 + 2x - 3x.
9. next, you multiply -3 by +2.
10. this would result in -6.
11. now combine all of the solutions you got and you should have:
12. x^2 + 2x - 3x - 6
13. the last step is to combine like terms.
14. x^2 is an only term, so leave that alone.
15. +2x and -3x are like terms. so, you want to add these.
16. that would remain as x^2 - x
17. now, -6 is an only term as well. so, just leave that in the end.
18. in conclusion, your answer is x^2 - x - 6

Answer 2

We FOIL, multiply firsts, outers, inners and lasts, and add them all up.

(x-3)(x+2) = x·x + 2x - 3x + (-3)(2) = x² - x - 6

Answer: x² - x - 6