Sorry I am a beginner

I have a function B(t)=(1-t)(t,t)+t*((3-t),t)
There is a way to expand this function in sage?

result expected:
B(t)=(t-t^2,t-t^2)+(t(3-t),t^2)
B(t)=(t-t^2+t(3-t),t-t^2+t^2)
B(t)=(4t-2t^2),t)

and after I should plot this 2d curve.

Thanks in advance.

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