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Using binomial expansion, simplify the e...

Using binomial expansion, simplify the expression `Q[(1+(Deltax)/(x))^3-1]`, assuming `Deltax` to be small in comparison to x.

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To simplify the expression \( Q\left[\left(1+\frac{\Delta x}{x}\right)^3-1\right] \) using the binomial expansion, we can follow these steps: ### Step 1: Identify the Binomial Expansion The binomial expansion states that for small \( y \), the expression \( (1+y)^n \) can be approximated as: \[ (1+y)^n \approx 1 + ny + \frac{n(n-1)}{2}y^2 + \ldots \] In our case, we have \( y = \frac{\Delta x}{x} \) and \( n = 3 \). ...
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