Write the Binomial Expansion of the Expression $$\left( \frac { 1 } { x } - \sqrt { 13 } y \right) ^ { 3 }$$

question 87

Multiple Choice

Write the binomial expansion of the expression.
- $$\left( \frac { 1 } { x } - \sqrt { 13 } y \right) ^ { 3 }$$

• A) \(\frac { 1 } { x ^ { 3 } } + \frac { 3 \sqrt { 13 } y } { x ^ { 2 } } + \frac { 39 y ^ { 2 } } { x } + 13 \sqrt { 13 } y ^ { 3 }\)
• B) \(\frac { 1 } { x ^ { 3 } } - \frac { 3 \sqrt { 13 } y } { x ^ { 2 } } - \frac { 39 y ^ { 2 } } { x } - 13 \sqrt { 13 } y ^ { 3 }\)
• C) \(\frac { 1 } { x ^ { 3 } } - \frac { 3 \sqrt { 13 } y } { x ^ { 2 } } + \frac { 117 y ^ { 2 } } { x } - 13 \sqrt { 13 } y ^ { 3 }\)
• D) \(\frac { 1 } { x ^ { 3 } } - \frac { 3 \sqrt { 13 } y } { x ^ { 2 } } + \frac { 39 y ^ { 2 } } { x } - 13 \sqrt { 13 } y ^ { 3 }\)

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