How do you simplify this polynomial expression? -2(3x-4)^2+(4-3x)(1+2x)? Please provide the answer step by step, thank you!

- Anguyennn

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- schrodinger

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- 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

-6x + 8x

- 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

Yes

- Anguyennn

Would you add -6 to 8 which gives you 2 and then square it?

- Anguyennn

Or do you have to do them separately?

- 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

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

|dw:1442005015282:dw|

- Anguyennn

Wouldn't it still be the same thing?

- Anguyennn

You're multiplying it by 1 which gives you the same rhing

- Anguyennn

Thing*

- anonymous

yes, but you have to understand the concept because that basically what this hole problem is

- 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

so now what we do is we combine like terms.

- anonymous

what are the like terms in the equation?

- Anguyennn

Would it be -24x^2+53x-28

- anonymous

not quite...
whats -6x^2 + 8x^2?
-6 + 8 = ?

- Anguyennn

2

- anonymous

2x^2. Correct.
What would 4 + 1 be?

- Anguyennn

5

- anonymous

5 great!
now what would -3x + 2x be?

- Anguyennn

-1

- 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

do you get it?

- anonymous

if not let me know and I'll try and explain it better.

- Anguyennn

But for my answer book it doesn't say rhat

- anonymous

Are you sure? what are the answer choices?

- Anguyennn

it is written

- anonymous

hmm?

- Anguyennn

here I will take a picture of it and show it to you

- Anguyennn

just hold on a sec please

- anonymous

ok

- Anguyennn

##### 1 Attachment

- 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

thank you so much!
yeah I got super confused as well

- Anguyennn

##### 1 Attachment

- Anguyennn

that is the answer

- anonymous

wow... I have no idea what I did wrong. I usually always get these right!!!!

- anonymous

I apologize that wasn't much help!

- Anguyennn

That is ok! I just don't know how to do it haha

- anonymous

hahah, looks like i need more practice!

- Spring98

don't forget to close this question if it is already answered!!:P

- Anguyennn

but it wasn't answered yet

- Anguyennn

I am not sure how to do this, please help!! and thank you

- 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

You need to use FOIL/the distributive property.
Then combine like terms
|dw:1442007209485:dw|

- anonymous

@Spring98 chill. the answer above wasn't right

- 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

@Anguyennn does what I posted make sense?

- Anguyennn

I am just viewing it right now

- Anguyennn

please hold

- 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

yes

- anonymous

you're welcome

- Anguyennn

@peachpi thank you!

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