Use the Binomial Theorem to Expand the Expression $\left( x ^ { 3 } + 2 y \right) ^ { 4 }$

question 170

Multiple Choice

Use the binomial theorem to expand the expression.
- $\left( x ^ { 3 } + 2 y \right) ^ { 4 }$

• A) \(x ^ { 7 } + 6 x ^ { 6 } y + 24 x ^ { 5 } y ^ { 2 } + 24 x ^ { 3 } y ^ { 3 } + 16 y ^ { 4 }\)
• B) \(x ^ { 12 } + 8 x ^ { 9 } y + 24 x ^ { 6 } y ^ { 2 } + 32 x ^ { 3 } y ^ { 3 } + 16 y ^ { 4 }\)
• C) \(x ^ { 7 } + 8 x ^ { 6 } y + 12 x ^ { 5 } y ^ { 2 } + 8 x ^ { 3 } y ^ { 3 } + 2 y ^ { 4 }\)
• D) \(x ^ { 12 } + 6 x ^ { 9 } y + 24 x ^ { 6 } y ^ { 2 } + 24 x ^ { 3 } y ^ { 3 } + 16 y ^ { 4 }\)

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