SOLUTION: What is the coefficient, the power of X, and the power of Y of this problem (2x + y^2)^5

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Question 1076142: What is the coefficient, the power of X, and the power of Y of this problem (2x + y^2)^5
Answer by MathLover1(20855) About Me  (Show Source):
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%282x+%2B+y%5E2%29%5E5
%282x+%2B+y%5E2%29%282x+%2B+y%5E2%29%282x+%2B+y%5E2%29%282x+%2B+y%5E2%29%282x+%2B+y%5E2%29
%284x%5E2+%2B+4xy%5E2+%2B+y%5E4%29%284x%5E2+%2B+4xy%5E2+%2B+y%5E4%29%282x+%2B+y%5E2%29
%2816x%5E4+%2B+32x%5E3y%5E2+%2B+24x%5E2y%5E4+%2B+8x+y%5E6+%2B+y%5E8%29%282x+%2B+y%5E2%29
32x%5E5+%2B+80x%5E4y%5E2+%2B+80x%5E3y%5E4+%2B+40x%5E2y%5E6+%2B+10xy%5E8+%2B+y%5E10
the coefficient of X:32

the power of X:5
and
the coefficient of Y:1
the power of Y :10