SOLUTION: Find the product {{{( 5x + 2)^4}}}

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Question 44625: Find the product
%28+5x+%2B+2%29%5E4
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
%285x+%2B+2%29%5E4
%285x+%2B+2%29%285x+%2B+2%29%285x+%2B+2%29%285x+%2B+2%29
%2825x%5E2+%2B+20x+%2B+4%29%285x+%2B+2%29%285x+%2B+2%29
%28125x%5E3+%2B+150x%5E2+%2B+60x+%2B+8%29%285x+%2B+2%29
625x%5E4+%2B+1000x%5E3+%2B+600x%5E2+%2B+160x+%2B+16
Or: Use Binomial Experiment --->
For %28T+%2B+F%29%5E4+=+T%5E4F%5E0+%2B+T%5E3F%5E1+%2B+T%5E2F%5E2+%2B+T%5E1F%5E3+%2B+T%5E0F%5E4
C(4,4)(5x)^4(2)^0 + C(4,3)(5x)^3(2)^1 + C(4,2)(5x)^2(2)^2 + C(4,1)(5x)^1(2)^3 + C(4,0)(5x)^0(2)^4
(1)(625x^4)(1) + (4)(125x^3)(2) + (6)(25x^2)(4) + (4)(5x)(8) + (1)(1)(16)
625x^4 + 1000x^3 + 600x^2 + 160x + 16