SOLUTION: Can you please show me how to get the binomial expansion for the expression: (P+2q)^4

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Question 870465: Can you please show me how to get the binomial expansion for the expression:
(P+2q)^4

Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Can you please show me how to get the binomial expansion for the expression:
(P+2q)^4 = (4C4)p^4(2q)^0 + (4C3)p^3(2q)^1 + (4C2)p^2(2q)^2 + (4C1)p(2q)^3+(4C0)p^0(2q)^4
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= p^4 + 4p^3(2q) + 6p^2(4q^2) + 4p(8q^3) + (2q)^4
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= p^4 + 8p^3 + 24p^2q^2 + 32pq^3 + 16q^4
==========================================
Cheers,
Stan H.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
(P+2q)^4 = P^4 + 8P^3q + 24P^2q^2 + 32Pq^3 + 16q^4
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