Use the Binomial Theorem to Expand and Simplify the Expression $( 2 x - 5 y ) ^ { 5 }$

question 40

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression.​ $( 2 x - 5 y ) ^ { 5 }$ ​

• A) \(32 x ^ { 5 } - 400 x ^ { 4 } y - 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } - 6250 x y ^ { 4 } - 3125\)
• B) \(32 x ^ { 5 } - 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } + 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } + 3125\)
• C) \(32 x ^ { 5 } + 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } - 3125\)
• D) \(32 x ^ { 5 } - 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } - 3125\)
• E) \(32 x ^ { 5 } + 400 x ^ { 4 } y + 2000 x ^ { 3 } y ^ { 2 } - 5000 x ^ { 2 } y ^ { 3 } + 6250 x y ^ { 4 } + 3125\)

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