SOLUTION: Use the Binomial Theorem to expand and simplify . (2x+y)^6

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Question 4455: Use the Binomial Theorem to expand and simplify . (2x+y)^6
Answer by pushpaharan(47) About Me  (Show Source):
You can put this solution on YOUR website!
(2x+y)^6 = 6C0*(2x)^6*y^0 + 6C1*(2x)^5*y^1 +6C2*(2x)^4*y^2 +6C3*(2x)^3*y^3 +6C4*(2x)^2*y^4 + 6C5*(2x)^1*y^6 + 6C6*(2x)^0*y^6
= 1*64x^6*1 + 6*32x^5*y + 15*16x^4*y^2 + 20*8X^3*y^3 + 15*4x^2*y^4 + 6*2x*y^5 + 1*1*y^6
= 64x^6 + 192x^5 + 240x^4 + 160x^3 + 60x^2 + 12x + y^6