Use the Binomial Theorem to Expand the Expression $\left( x - 2 y ^ { 5 } \right) ^ { 4 }$

question 35

Multiple Choice

Use the Binomial Theorem to expand the expression $\left( x - 2 y ^ { 5 } \right) ^ { 4 }$ .

• A) \(x ^ { 4 } - 8 x ^ { 3 } y + 24 x ^ { 2 } y ^ { 2 } - 32 x y ^ { 3 } + 16 y ^ { 4 }\)
• B) \(x ^ { 4 } - 8 x ^ { 3 } y ^ { 5 } + 24 x ^ { 2 } y ^ { 10 } - 32 x y ^ { 15 } + 16 y ^ { 20 }\)
• C) \(x ^ { 4 } - 2 x ^ { 3 } y + 4 x ^ { 2 } y ^ { 2 } - 8 x y ^ { 3 } + 16 y ^ { 4 }\)
• D) \(x ^ { 4 } + 4 x ^ { 3 } y ^ { 5 } + 6 x ^ { 2 } y ^ { 10 } + 4 x y ^ { 15 } + y ^ { 20 }\)
• E) \(x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }\)

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