
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
Given the polar equation of curve C is $\rho - 2\cos\theta - 4\sin\theta = 0$, with the pole at the origin of the Cartesian coordinate system $xoy$, and the polar axis as the positive half-axis of $x$. The parametric equation of line $l$ is $$\begin{cases} x= \frac { \sqrt {3}}{2}t \\ y=1+ \frac {1}{2}t \end{cases}$$ ($t$ is the parameter).
(1) Convert the polar equation of curve C into a Cartesian coordinate equation, and convert the parametric equation of line $l$ into a standard equation;
(2) If line $l$ intersects curve C at points A and B, and intersects the y-axis at point M, find the value of $(|MA|+|MB|)^2$.

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