Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored

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Galen sold tickets of his church’s carnival for a total of $2,820. children’s tickets cost $3 each and adult tickets cost $5 each. the number of children’s tickets sold was 30 more than 3 times the number of adult tickets slod. how many children’s ticket and how many adult tickets did he sell?

What is the difference between the predicted value and the actual value