Expand the Binomial by Using the Binomial Theorem $\left( \frac { a } { 3 } - b \right) ^ { 5 }$

question 66

Multiple Choice

Expand the binomial by using the binomial theorem.
- $\left( \frac { a } { 3 } - b \right) ^ { 5 }$

• A) \(\frac { 1 } { 3 } a ^ { 5 } - \frac { 5 } { 3 } a ^ { 4 } b + \frac { 10 } { 3 } a ^ { 3 } b ^ { 2 } - \frac { 20 } { 3 } a ^ { 3 } b ^ { 3 } + \frac { 10 } { 3 } a ^ { 2 } b ^ { 3 } - \frac { 5 } { 3 } a b ^ { 4 } + b ^ { 5 }\)
• B) \(\frac { 1 } { 3 } a ^ { 5 } - \frac { 5 } { 3 } a ^ { 4 } b + \frac { 10 } { 3 } a ^ { 3 } b ^ { 2 } - \frac { 10 } { 3 } a ^ { 2 } b ^ { 3 } - \frac { 5 } { 3 } a b ^ { 4 } - b ^ { 5 }\)
• C) \(\frac { 1 } { 243 } a ^ { 5 } - \frac { 5 } { 81 } a ^ { 4 } b + \frac { 10 } { 27 } a ^ { 3 } b ^ { 2 } - \frac { 10 } { 9 } a ^ { 2 } b ^ { 3 } + \frac { 5 } { 3 } a b ^ { 4 } - b ^ { 5 }\)
• D) \(\frac { 1 } { 243 } a ^ { 5 } - \frac { 5 } { 81 } a ^ { 4 } b + \frac { 10 } { 27 } a ^ { 3 } b ^ { 2 } - \frac { 20 } { 27 } a ^ { 3 } b ^ { 3 } + \frac { 10 } { 9 } a ^ { 2 } b ^ { 3 } - \frac { 5 } { 3 } a b ^ { 4 } + b ^ { 5 }\)

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