Write the Binomial Expansion of the Expression $( a - b ) ^ { 6 }$

question 536

Multiple Choice

Write the binomial expansion of the expression.
- $( a - b ) ^ { 6 }$

• A) \(a ^ { 6 } - 6 a ^ { 5 } b - 15 a ^ { 4 } b ^ { 2 } - 20 a ^ { 3 } b ^ { 3 } - 15 a ^ { 2 } b ^ { 4 } - 6 a b ^ { 5 } - b ^ { 6 }\)
• B) \(a^{ 6} - 6 a ^ { 5 } b + 15 a ^ { 4 } b ^ { 2 } - 20 a ^ { 3 } b ^ { 3 } + 15 a ^ { 2 } b ^ { 4 } - 6 a b ^ { 5 } + b ^ { 6 }\)
• C) \(a ^ { 6 } + 6 a ^ { 5 } b + 15 a ^ { 4 } b ^ { 2 } + 20 a ^ { 3 } b ^ { 3 } + 15 a ^ { 2 } b ^ { 4 } + 6 a b ^ { 5 } + b ^ { 6 }\)
• D) \(- a ^ { 6 } + 6 a ^ { 5 } b - 15 a ^ { 4 } b ^ { 2 } + 20 a ^ { 3 } b ^ { 3 } - 15 a ^ { 2 } b ^ { 4 } + 6 a b ^ { 5 } - b ^ { 6 }\)

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Interest calculated on the initial principal of a deposit or loan, as well as on the accumulated interest of previous periods, leading to exponential growth of the amount over time.

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