Use the Binomial Theorem to Expand the Binomial $$\left( \frac { a } { 4 } - b \right) ^ { 5 }$$

question 38

Multiple Choice

Use the binomial theorem to expand the binomial. $$\left( \frac { a } { 4 } - b \right) ^ { 5 }$$

• A) \(\frac { 1 } { 1024 } a ^ { 5 } - \frac { 5 } { 256 } a ^ { 4 } b + \frac { 5 } { 32 } a ^ { 3 } b ^ { 2 } - \frac { 5 } { 16 } a ^ { 3 } b ^ { 3 } + \frac { 5 } { 8 } a ^ { 2 } b ^ { 3 } - \frac { 5 } { 4 } a b ^ { 4 } + b ^ { 5 }\)
• B) \(\frac { 1 } { 4 } a ^ { 5 } - \frac { 5 } { 4 } a ^ { 4 } b + \frac { 5 } { 2 } a ^ { 3 } b ^ { 2 } - \frac { 5 } { 2 } a ^ { 2 } b ^ { 3 } - \frac { 5 } { 4 } a b ^ { 4 } - b ^ { 5 }\)
• C) \(\frac { 1 } { 1024 } a ^ { 5 } - \frac { 5 } { 256 } a ^ { 4 } b + \frac { 5 } { 32 } a ^ { 3 } b ^ { 2 } - \frac { 5 } { 8 } a ^ { 2 } b ^ { 3 } + \frac { 5 } { 4 } a b ^ { 4 } - b ^ { 5 }\)
• D) \(\frac { 1 } { 4 } a ^ { 5 } - \frac { 5 } { 4 } a ^ { 4 } b + \frac { 5 } { 2 } a ^ { 3 } b ^ { 2 } - 5 a ^ { 3 } b ^ { 3 } + \frac { 5 } { 2 } a ^ { 2 } b ^ { 3 } - \frac { 5 } { 4 } a b ^ { 4 } + b ^ { 5 }\)

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