SOLUTION: 28. Identify the binomial expansion of (x + 4y)4. 1. x4 + 256y4 2. x4 + 8x2y2 + 16y4 3. x4 + 12x3y + 96xy3 + 256y4 4. x4 + 16x3y + 96x2y2

Algebra ->  Probability-and-statistics -> SOLUTION: 28. Identify the binomial expansion of (x + 4y)4. 1. x4 + 256y4 2. x4 + 8x2y2 + 16y4 3. x4 + 12x3y + 96xy3 + 256y4 4. x4 + 16x3y + 96x2y2       Log On


   

Question 330345: 28. Identify the binomial expansion of (x + 4y)4.
1. x4 + 256y4
2. x4 + 8x2y2 + 16y4
3. x4 + 12x3y + 96xy3 + 256y4
4. x4 + 16x3y + 96x2y2 + 256xy3 + 256y4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the binomial expansion of
(x + 4y)^4 = x^4+4C3*x^3(4y)+4C2(x^2)(4y)^2+4C1x(4y)^3+(4y)^4
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= x^4+16x^3y+6x^2(16y^2)+4x(64y^3)+256y^4
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= x^4+16x^3y+96xy^2+256y^3+256y^4
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Cheers,
Stan H.
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1. x4 + 256y4
2. x4 + 8x2y2 + 16y4
3. x4 + 12x3y + 96xy3 + 256y4
4. x4 + 16x3y + 96x2y2 + 256xy3 + 256y4