
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the polar coordinate system, the polar coordinate equation of the curve C₁ is $$ρ= \frac {24}{4cos\theta +3sin\theta }$$. In the rectangular coordinate system xOy with the pole as the origin O and the polar axis as the positive semi-axis of x (with the same unit length for both coordinate systems), the parametric equation of the curve C₂ is: $$\begin{cases} x=cos\theta \\ y=sin\theta \end{cases}$$ (θ is the parameter).

1. Find the rectangular coordinate equation of curve C₁ and the ordinary equation of curve C₂.
2. After the curve C₂ undergoes an expansion transformation $$\begin{cases} x′=2 \sqrt {2}x \\ y′=2y\end{cases}$$, it becomes curve C₃. If M and N are moving points on curves C₁ and C₃ respectively, find the minimum value of |MN|.

Present the answer in LaTex format: \boxed{Your answer}
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