What is $P(A\cup (B\cap C))$?

The question says it all. I know

$P(A\cap (B\cup C))=P(A\cap B)+P(A\cap C).$

Would this mean,

$P(A\cup (B\cap C))=P(A\cup B)+P(A\cup C)?$

Just want to make sure.

The question says it all. I know

$P(A\cap (B\cup C))=P(A\cap B)+P(A\cap C).$

Would this mean,

$P(A\cup (B\cap C))=P(A\cup B)+P(A\cup C)?$

Just want to make sure.