Mathematics
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OpenStudy (iwanttogotostanford):
(x^2-4x+3)-(3x^2-4x-3) is equivalent to:
2x^2-6
2x^2-8x
2x^2-8x-6
-2x^2+6
-2x^2-8x
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OpenStudy (iwanttogotostanford):
@Vocaloid
Vocaloid (vocaloid):
start by distributing the negative sign
OpenStudy (iwanttogotostanford):
how do i do that
Vocaloid (vocaloid):
hint: -(A-B-C) = -A+B+C
OpenStudy (iwanttogotostanford):
oh ok gotcha
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Vocaloid (vocaloid):
-(3x^2-4x-3) = ?
OpenStudy (iwanttogotostanford):
(3x^2+-4x+-3)?
Vocaloid (vocaloid):
almost, check your signs
OpenStudy (iwanttogotostanford):
oh, -3x^2+-4x+-3?
Vocaloid (vocaloid):
getting closer
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Vocaloid (vocaloid):
-(-4x) = ?
-(-3) = ?
OpenStudy (iwanttogotostanford):
4x and 3!
Vocaloid (vocaloid):
right, so we have
- 3x^2 + 4x + 3 on the right side after we distribute
now we put the whole problem back together
OpenStudy (iwanttogotostanford):
yes
Vocaloid (vocaloid):
x^2-4x+3- 3x^2 + 4x + 3
know where to go from here?
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OpenStudy (iwanttogotostanford):
just combine right?
Vocaloid (vocaloid):
yes, so what does that give us?
OpenStudy (iwanttogotostanford):
x^2+14-3x^2? Im really bad at combining like terms for some reason..
OpenStudy (iwanttogotostanford):
i most likely did it wrong
Vocaloid (vocaloid):
not quite
x^2 - 3x^2 = ?
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OpenStudy (iwanttogotostanford):
3
OpenStudy (iwanttogotostanford):
so it would be x^+11?
Vocaloid (vocaloid):
uh, not quite
hint:
1 - 3 = -2
x - 3x = -2x
x^2 - 3x^2 = ?
OpenStudy (iwanttogotostanford):
just -2?
Vocaloid (vocaloid):
don't forget the x^2
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OpenStudy (iwanttogotostanford):
-2^2???
OpenStudy (iwanttogotostanford):
im so bad at this one ...
Vocaloid (vocaloid):
nope, when you combine like terms, you keep the variable
x^2 - 3x^2 = -2x^2
OpenStudy (iwanttogotostanford):
plus 6 right?
Vocaloid (vocaloid):
right
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Vocaloid (vocaloid):
think of it this way:
1 - 3 = -2
1 dollar - 3 dollars = -2 dollars
the "dollar" stays in the answer, just like x^2 stays in the answer
Vocaloid (vocaloid):
so our final answer is -2x^2 + 6
OpenStudy (iwanttogotostanford):
ok, im gonna need to practice that one a bit. thanks for all of you help! is it ok if i tag you in a couple of questions tomorrow?
Vocaloid (vocaloid):
sure, I'm online all day tomorrow
OpenStudy (iwanttogotostanford):
ok- thanks i will tag you !