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Mathematics 8 Online
OpenStudy (anonymous):

(2x^{3}-x+1)-(-3x^{4}+x^{2}+x

OpenStudy (anonymous):

(2x^{3}-x+1)-(-3x^{4}+x^{2}+x

jimthompson5910 (jim_thompson5910):

You need to simplify \[\Large (2x^{3}-x+1)-(-3x^{4}+x^{2}+x)\] right?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

your first step is to distribute the negative through to get \[\Large (2x^{3}-x+1)-(-3x^{4}+x^{2}+x)\] \[\Large (2x^{3}-x+1)+3x^{4}-x^{2}-x\]

jimthompson5910 (jim_thompson5910):

Notice how the signs of every term inside the second group change

jimthompson5910 (jim_thompson5910):

The first set of parenthesis are unneeded. So we can remove them. \[\Large 2x^{3}-x+1+3x^{4}-x^{2}-x\]

jimthompson5910 (jim_thompson5910):

Now just combine like terms

OpenStudy (anonymous):

so it would be \[3^{4}+2^{3}-x^{2}+1\]

OpenStudy (anonymous):

right?

jimthompson5910 (jim_thompson5910):

I think you meant \[3x^{4}+2x^{3}-x^{2}+1\] that's close

jimthompson5910 (jim_thompson5910):

something is missing though

OpenStudy (anonymous):

do i add the 2x

OpenStudy (anonymous):

and is it -2x or +2x

jimthompson5910 (jim_thompson5910):

the -x and other -x add to -2x

jimthompson5910 (jim_thompson5910):

it should be \[\Large 3x^{4}+2x^{3}-x^{2}-2x+1\]

OpenStudy (anonymous):

okai thanks got it

jimthompson5910 (jim_thompson5910):

you're welcome

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