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OpenStudy (anonymous):
(2x^{3}-x+1)-(-3x^{4}+x^{2}+x
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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
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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
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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
\[\Large 3x^{4}+2x^{3}-x^{2}-2x+1\]
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OpenStudy (anonymous):
okai thanks
got it
jimthompson5910 (jim_thompson5910):
you're welcome
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