Anguyennn
  • Anguyennn
How do you simplify this polynomial expression? -2(3x-4)^2+(4-3x)(1+2x)? Please provide the answer step by step, thank you!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Wow! So first off, you must distribute into the parentheses. So lets do one at a time. -2(3x-4) is saying -2 x 3x + -2 x -4. can you solve this?
Anguyennn
  • Anguyennn
-6x + 8x
anonymous
  • anonymous
great. Now that is raised to the power of 2 so it becomes -6x^2 + 8x^2 correct?

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More answers

Anguyennn
  • Anguyennn
Yes
Anguyennn
  • Anguyennn
Would you add -6 to 8 which gives you 2 and then square it?
Anguyennn
  • Anguyennn
Or do you have to do them separately?
anonymous
  • anonymous
good so now lets move on... the next part is tricky but you have to pay attention. even though it says (4 -3x) its really saying 1 x 4 - 1 x 3x what is 1 x 4 - 1 x 3x?
anonymous
  • anonymous
oh to answer your previous question, you wouldn't add them, because they aren't the same terms. one has an exponent and one doesn't
anonymous
  • anonymous
|dw:1442005015282:dw|
Anguyennn
  • Anguyennn
Wouldn't it still be the same thing?
Anguyennn
  • Anguyennn
You're multiplying it by 1 which gives you the same rhing
Anguyennn
  • Anguyennn
Thing*
anonymous
  • anonymous
yes, but you have to understand the concept because that basically what this hole problem is
anonymous
  • anonymous
so now we have -6x^2 + 8x^2 + 4 -3x the last part is basically the same thing. so now we have -6x^2 + 8x^2 + 4 - 3x +1 +2x right?
anonymous
  • anonymous
so now what we do is we combine like terms.
anonymous
  • anonymous
what are the like terms in the equation?
Anguyennn
  • Anguyennn
Would it be -24x^2+53x-28
anonymous
  • anonymous
not quite... whats -6x^2 + 8x^2? -6 + 8 = ?
Anguyennn
  • Anguyennn
2
anonymous
  • anonymous
2x^2. Correct. What would 4 + 1 be?
Anguyennn
  • Anguyennn
5
anonymous
  • anonymous
5 great! now what would -3x + 2x be?
Anguyennn
  • Anguyennn
-1
anonymous
  • anonymous
Great!! So in the end the final answer actually changes. You write you answer from highest to lowest degree of exponent. Answer: 2x^2 - 1x + 5
anonymous
  • anonymous
do you get it?
anonymous
  • anonymous
if not let me know and I'll try and explain it better.
Anguyennn
  • Anguyennn
But for my answer book it doesn't say rhat
anonymous
  • anonymous
Are you sure? what are the answer choices?
Anguyennn
  • Anguyennn
it is written
anonymous
  • anonymous
hmm?
Anguyennn
  • Anguyennn
here I will take a picture of it and show it to you
Anguyennn
  • Anguyennn
just hold on a sec please
anonymous
  • anonymous
ok
Anguyennn
  • Anguyennn
1 Attachment
anonymous
  • anonymous
wow... I probably got it mixed up explaining it to you.Let me solve it on paper and then I'll post my steps and solution ok? give me one minute
Anguyennn
  • Anguyennn
thank you so much! yeah I got super confused as well
Anguyennn
  • Anguyennn
1 Attachment
Anguyennn
  • Anguyennn
that is the answer
anonymous
  • anonymous
wow... I have no idea what I did wrong. I usually always get these right!!!!
anonymous
  • anonymous
I apologize that wasn't much help!
Anguyennn
  • Anguyennn
That is ok! I just don't know how to do it haha
anonymous
  • anonymous
hahah, looks like i need more practice!
Spring98
  • Spring98
don't forget to close this question if it is already answered!!:P
Anguyennn
  • Anguyennn
but it wasn't answered yet
Anguyennn
  • Anguyennn
I am not sure how to do this, please help!! and thank you
Spring98
  • Spring98
but sombody has already helped you and i think that person explained good enough this is open STUDY not some answer sight. Yes we can help you but you have to figure out the answer ur self.
anonymous
  • anonymous
You need to use FOIL/the distributive property. Then combine like terms |dw:1442007209485:dw|
anonymous
  • anonymous
@Spring98 chill. the answer above wasn't right
Anguyennn
  • Anguyennn
yes I know that, if you dont want to give me the answer that is ok. but I need help to know how to do it on my own the next time
anonymous
  • anonymous
@Anguyennn does what I posted make sense?
Anguyennn
  • Anguyennn
I am just viewing it right now
Anguyennn
  • Anguyennn
please hold
Anguyennn
  • Anguyennn
yes! I understand it now. thank you so much would you have to use the foil method for the next question as well?
anonymous
  • anonymous
yes
anonymous
  • anonymous
you're welcome
Anguyennn
  • Anguyennn
@peachpi thank you!

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