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Mathematics 21 Online
OpenStudy (anonymous):

Multiply the following expressions and simplify: (3x – 1)(2x + 5)

OpenStudy (goldphenoix):

Do you know how to do the FOIL method?

OpenStudy (anonymous):

no :/

OpenStudy (goldphenoix):

So you do "first" first. So what does 3x * 2x give us?

OpenStudy (anonymous):

9x

OpenStudy (goldphenoix):

Hmm. 3 * 2 would give us?

OpenStudy (anonymous):

6x

OpenStudy (goldphenoix):

x * x would give us?

OpenStudy (anonymous):

2x

OpenStudy (goldphenoix):

Pretend x was 10. Would would 10 * 10 give us?

OpenStudy (anonymous):

100

OpenStudy (goldphenoix):

What is another way of saying 100?

OpenStudy (goldphenoix):

By using 10?

OpenStudy (anonymous):

i dont know ._.

OpenStudy (goldphenoix):

TIP: Use exponent. Does it ring a bell?

OpenStudy (goldphenoix):

haivenn, what does 10^2 give us?

OpenStudy (anonymous):

100

OpenStudy (goldphenoix):

Great. So if 10 * 10 = 10^2 What would x * x give us?

OpenStudy (anonymous):

x^2

OpenStudy (goldphenoix):

Good. Now do outer. What does: 3x * 5 give us?

OpenStudy (anonymous):

15x

OpenStudy (goldphenoix):

Good. Now do the inner. What does -1 * 2x give us?

OpenStudy (anonymous):

-2x

OpenStudy (goldphenoix):

Great. Final step is to do the Last. What does -1 * 5 give us?

OpenStudy (anonymous):

-5x

OpenStudy (goldphenoix):

Hold! Where did you get that x from?

OpenStudy (anonymous):

i meant -5 aha sorry

OpenStudy (goldphenoix):

Great! So now we'll get 6x^2 + 15x - 2x - 5 Do you understand it so far?

OpenStudy (anonymous):

yes (:

OpenStudy (goldphenoix):

Alright. Now we need to simplify it by combining like terms. Which terms can we combine?

OpenStudy (anonymous):

15x and -2x

OpenStudy (goldphenoix):

Great! What does that give us after combining?

OpenStudy (anonymous):

13x

OpenStudy (goldphenoix):

Great! So now you have 6x^2 + 13x - 5. Can we simplify any more?

OpenStudy (anonymous):

no not that i see

OpenStudy (goldphenoix):

Great! So that's your answer. I hope this help! :) Do you know how to do the FOIL method now?

OpenStudy (anonymous):

yes thank you (:!

OpenStudy (goldphenoix):

Good to hear! If you think I helped you a lot, press the blue Best Response button on the right side. :)

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