## mikaa_toxica13 2 years ago Choose the correct simplification of the expression (−2x + 4y)(3x − 7y). −6x^2 − 2xy − 28y^2 6x^2 + 26xy − 28y^2 −6x^2 + 26xy + 28y^2 −6x^2 + 26xy − 28y^2

1. skullpatrol

Any ideas?

2. skullpatrol

What have you tried?

3. mikaa_toxica13

i have no idea. and i jus went through something big so my mind isnt even on math right now.

4. skullpatrol

Have you heard of the FOIL method?

5. mikaa_toxica13

no sorry

6. skullpatrol

7. mikaa_toxica13

16/10

8. skullpatrol

Anyway FOIL is a way to remember how to do these type of questions.

9. skullpatrol

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10. skullpatrol

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11. skullpatrol

@mikaa_toxica13 Are you still there?

12. mikaa_toxica13

yes sorry. im having some family drama right now.

13. skullpatrol

I'm sorry to hear that, but I'm trying to teach you the FOIL method. Please stop me and ask any questions.

14. skullpatrol

Each letter in the word FOIL stands for one step in the method.

15. mikaa_toxica13

okay no problem.

16. skullpatrol

I just showed what the "F" in FOIL means. Did you follow that?

17. mikaa_toxica13

i think so

18. skullpatrol

Are you unsure at all?

19. mikaa_toxica13

not too sure what a binomial is

20. mikaa_toxica13

i have to get off for a few minutes. but u can continue to explain and i will write back when im back online. if u want.

21. skullpatrol

The word "binomial" comes from the two parts: "bi" which means two because it has two terms like (a +b) and "nomial" which means name or just term.

22. skullpatrol

(−2x + 4y)(3x − 7y) multiply the First terms of the binomials (-2x)(3x) = -6x^2

23. skullpatrol

(-2x + 4y) is a binomial and (3x -7y) is a binomial, so the FOIL method works when you are multiplying two binomials. Recall each of -2x, 4y, 3x, and -7y are called terms, right?

24. skullpatrol

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25. skullpatrol

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26. skullpatrol

multiply the first term of each binomial by the last term of the other and add these products: "O" stands for Outer terms and "I" stands for inner terms

27. skullpatrol

The last letter in the word "FOIL" is L and it stands for multiply the Last terms of the binomials.

28. skullpatrol

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29. skullpatrol

You can put all the letters together and get the answer now. Good luck with your studies.