Mathematics
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zarkam21:
Help
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zarkam21:
Vocaloid:
the first part is simply asking you to expand (x+1)^2 using foil
(x+1)^2 = (x+1)(x+1) = ?
zarkam21:
x^2+2
Vocaloid:
first, outer, inner, last
|dw:1515006512513:dw|
zarkam21:
x^2*1
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Vocaloid:
|dw:1515006533138:dw|
zarkam21:
x^2+1
zarkam21:
2x+1
Vocaloid:
x * x = ?
zarkam21:
x^2
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Vocaloid:
good, now let's do outer|dw:1515006651451:dw|
zarkam21:
1x
Vocaloid:
good, now inner
|dw:1515006700101:dw|
zarkam21:
1x
Vocaloid:
good, now last terms
|dw:1515006742295:dw|
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zarkam21:
1
zarkam21:
so x^2+2x+1
Vocaloid:
good, now we plug that back into the original problem to get
y - 3 = -2(x^2+2x+1) = answer for part I
zarkam21:
ookay now for part 2
zarkam21:
just distribute so
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Vocaloid:
so, by "distribute the -2" it just means multiply every term by (-2)
Vocaloid:
(not the y - 3) part just the right hand side
zarkam21:
y-3=-2x^2-4x-2
Vocaloid:
awesome, that's it for part II
for part III solve for y by adding 3 to both sides
zarkam21:
how do you know there is a part III
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Vocaloid:
I'm still looking at the original document
zarkam21:
oh okay
zarkam21:
well to solve it would be
zarkam21:
\[y=\frac{ 2x^2-4x-2 }{ 3 }\]
Vocaloid:
add 3, not divide by 3
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Vocaloid:
y- 3 + 3 =-2x^2-4x-2 + 3
then just simplify both sides
zarkam21:
2x^2-4x+1
Vocaloid:
good, just don't forget the y = part
so y = 2x^2-4x+1 = your ans