Expand (x + y/sqrt[n] + z/n)^2

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The discussion focuses on expanding the expression (x + y/sqrt[n] + z/n)^2 by multiplying it out rather than applying Taylor's expansion. Participants clarify that the task is simply to square the entire expression. The correct approach involves multiplying the terms directly, leading to a polynomial result. The emphasis is on avoiding unnecessary complexity in the solution. Ultimately, the goal is to achieve a straightforward expansion of the given expression.
Algernon81
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Hello,

I have come across this part of a question which has puzzled me.

Expand (x + y/sqrt[n] + z/n)^2

I assume it means Taylors, but could someone help me understand this?
 
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Not Taylor's expansion, they just mean to multiply it out:

(x + y/sqrt[n] + z/n) * (x + y/sqrt[n] + z/n) = x2 + . . .​
 


Redbelly98 said:
Not Taylor's expansion, they just mean to multiply it out:

(x + y/sqrt[n] + z/n) * (x + y/sqrt[n] + z/n) = ____?​

Ah, typical of me. I always look for the hardest way of doing things.

Thank you!
 


Not a taylor series - just square the whole thing.

<br /> \left(x + \frac y {\sqrt n} + \frac z n\right)^2 = \left(x + \frac y {\sqrt n} + \frac z n\right) \cdot \left(x + \frac y {\sqrt n} + \frac z n\right)<br />
 
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