Mathematics
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OpenStudy (anonymous):
Multiply the following expressions and simplify: (3x – 1)(2x + 5)
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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
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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?
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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?
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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?
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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
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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?
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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
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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. :)