Product of Sums for a 4 variable fucntion without a truth table

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Represent the next function as product of sums by simplyfing the expression: $F(A,B,C,D) = B^{c}A(C^{c}D + B) + (B⊕C)$

We've been given our first assignment in boolean algebra and I've been going around and around this spesific question.

I've created a truth table and figured out what the product of sums should be, but I just can't figure out how to reach the result using the identities we've seen so far and I feel like there is something I'm missing..

Is there any trick involved in solving this?