Use the Binomial Theorem to Expand and Simplify the Expression $( 5 x + 2 y ) ^ { 4 }$

question 64

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( 5 x + 2 y ) ^ { 4 }$

• A) \(625 x ^ { 4 } + 1000 x ^ { 3 } y + 600 x ^ { 2 } y ^ { 2 } + 160 x y ^ { 3 } + 16 y ^ { 4 }\)
• B) \(625 x ^ { 4 } + 250 x ^ { 3 } y + 100 x ^ { 2 } y ^ { 2 } + 40 x y ^ { 3 } + 16 y ^ { 4 }\)
• C) \(625 x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }\)
• D) \(125 x ^ { 4 } + 200 x ^ { 3 } y + 120 x ^ { 2 } y ^ { 2 } + 32 x y ^ { 3 } + 16 y ^ { 4 }\)
• E) \(125 x ^ { 3 } + 150 x ^ { 2 } y + 60 x y ^ { 2 } + 8 y ^ { 3 }\)

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