Question 62657
The Binomial Theorem is:
(x+y)^n=C(n,0)*x^n+C(n,1)*x^(n-1)*y+C(n,2)x^(n-2)*y^2+C(n,3)*x^(n-3)y^3+...+(C(n,n-1)*xy^(n-1)+C(n,n)*y^n
(x-9)^7
:
C(7,0)*x^7+C(7,1)*x^6*9+C(7,2)*x^5*9^2+C(7,3)*x^4*9^3+C(7,4)x^3*9^4+C(7,5)*x^2*9^5+C(7,6)*x*9^6+C(7,7)9^7
:
C(7,0)*x^7+C(7,1)*x^6*9+C(7,2)*x^5*9^2+C(7,3)*x^4*9^3+C(7,4)x^3*9^4+C(7,5)*x^2*9^5+C(7,6)*x*9^6+C(7,7)9^7
:
(1)*x^7+(7)*x^6*9+(21)*x^5*9^2+(35)*x^4*9^3+(35)x^3*9^4+(21)*x^2*9^5+(7)*x*9^6+(1)9^7
:
(1)*x^7+(7)(9)*x^6+(21)*(81)x^5+(35)*(729)x^4+(35)(6561)x^3+(21)*(59049)x^2+(7)(531441)+(1)(4782969)
{{{highlight(x^7+63x^6+1701x^5+25515x^4+229635x^3+1240029x^2+3720087x+4782969)}}}
Happy Calculating!!!