Use the Binomial Theorem to Expand the Expression $( 5 a + 4 b ) ^ { 4 }$

question 8

Multiple Choice

Use the Binomial Theorem to expand the expression $( 5 a + 4 b ) ^ { 4 }$ .

• A) \(625 a ^ { 4 } + 256 b ^ { 4 }\)
• B) \(a ^ { 4 } + 4 a ^ { 3 } b + 6 a ^ { 2 } b ^ { 2 } + 4 a b ^ { 3 } + b ^ { 4 }\)
• C) \(625 a ^ { 4 } + 500 a ^ { 3 } b + 400 a ^ { 2 } b ^ { 2 } + 320 a b ^ { 3 } + 256 b ^ { 4 }\)
• D) \(a ^ { 4 } + 16 a ^ { 3 } b + 96 a ^ { 2 } b ^ { 2 } + 256 a b ^ { 3 } + 256 b ^ { 4 }\)
• E) \(625 a ^ { 4 } + 2000 a ^ { 3 } b + 2400 a ^ { 2 } b ^ { 2 } + 1280 a b ^ { 3 } + 256 b ^ { 4 }\)

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