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1205 MrG What is the Binomial Expansion Theorem
2818 days ago by MATH4R2013
for n in range(10): expand((x+1)^n)
print "i\ti!" for i in range(7): print i,"\t",factorial(i)
i i! 0 1 1 1 2 2 3 6 4 24 5 120 6 720
i i! 0 1 1 1 2 2 3 6 4 24 5 120 6 720
#17) p851: (3x+1)^4 expand((3*x+1)^4)
def combo(n,r): return factorial(n)/factorial(r)/factorial(n-r) for r in range(5): combo(4,r)
combo(4,0)*(3*x)^4*(1)^0
combo(4,1)*(3*x)^3*(1)^1
combo(4,2)*(3*x)^2*(1)^2
combo(4,3)*(3*x)^1*(1)^3
combo(4,4)*(3*x)^0*(1)^4
for r in range(5): combo(4,r)*(3*x)^(4-r)*(1)^r