Perform the Indicated Operations and Simplify $\left( x + \frac { 1 } { y ^ { 2 } } \right) ^ { 3 }$

question 93

Multiple Choice

Perform the indicated operations and simplify. $\left( x + \frac { 1 } { y ^ { 2 } } \right) ^ { 3 }$

• A) \(x ^ { 3 } + \frac { 3 x ^ { 2 } } { y ^ { 2 } } + \frac { 3 x } { y ^ { 4 } } + \frac { 1 } { y ^ { 6 } }\)
• B) \(x ^ { 3 } + \frac { 3 x ^ { 2 } } { y ^ { 2 } } + \frac { x } { y ^ { 2 } } + \frac { 1 } { y ^ { 6 } }\)
• C) \(x ^ { 3 } + \frac { 3 x ^ { 2 } } { y } + \frac { 3 x ^ { 2 } } { y ^ { 4 } } + \frac { 3 } { y ^ { 3 } }\)
• D) \(x ^ { 3 } + \frac { 3 x ^ { 2 } } { y } + \frac { 1 } { y ^ { 6 } }\)
• E) \(x ^ { 3 } + \frac { 1 } { y ^ { 6 } }\)

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Definitions:

Sperm Cells

The male reproductive cells responsible for fertilizing a female egg, leading to conception.

Epididymis

An elongated structure attached to the back of the testes and in which sperm cells mature.

Urethra

The tube that carries urine from the bladder to the outside of the body in both sexes, and also conveys semen in males.

Pelvic Cavity

The body cavity located in the lower abdomen, housing organs such as the bladder, reproductive organs, and rectum.