Use the Binomial Theorem to Expand the Expression $( x + 2 y ) ^ { 6 }$

question 36

Multiple Choice

Use the binomial theorem to expand the expression.
- $( x + 2 y ) ^ { 6 }$

• A) \(x ^ { 6 } + 12 x ^ { 5 } y + 64 x ^ { 4 } y ^ { 2 } + 40 x ^ { 3 } y ^ { 3 } + 64 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + 2 y ^ { 6 }\)
• B) \(x ^ { 6 } + 12 x ^ { 5 } y + 48 x ^ { 4 } y ^ { 2 } + 144 x ^ { 3 } y ^ { 3 } + 192 x ^ { 2 } y ^ { 4 } + 192 x y ^ { 5 } + 64 y ^ { 6 }\)
• C) \(x ^ { 6 } + 12 x ^ { 5 } y + 24 x ^ { 4 } y ^ { 2 } + 36 x ^ { 3 } y ^ { 3 } + 24 x ^ { 2 } y ^ { 4 } + 12 x y ^ { 5 } + 2 y ^ { 6 }\)
• D) \(x ^ { 6 } + 12 x ^ { 5 } y + 60 x ^ { 4 } y ^ { 2 } + 160 x ^ { 3 } y ^ { 3 } + 240 x ^ { 2 } y ^ { 4 } + 192 x y ^ { 5 } + 64 y ^ { 6 }\)

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