Expansion of conditional probability and expected value

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The question-Suppose X and Y are discrete random variables. Match up the follow- ing.

$$(a) E(X^2Y |Y = 2)$$ $$Answer- 2E(X^2|Y = 2)$$

My approach was to expand which I got $$ 2E(XY |Y=2))$$

I don’t know how to go forward with this- can anyone help?