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Mathematics 21 Online
zarkam21:

Help

zarkam21:

1 attachment
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

Vocaloid:

|dw:1515006533138:dw|

zarkam21:

x^2+1

zarkam21:

2x+1

Vocaloid:

x * x = ?

zarkam21:

x^2

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|

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

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

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

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

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