Perform the Indicated Operation and Express Your Answer in Simplest $\frac { 6 } { x ^ { 2 } - 5 x - 24 } - \frac { 1 } { x ^ { 2 } - 3 x - 40 }$

question 13

Multiple Choice

Perform the indicated operation and express your answer in simplest form. $\frac { 6 } { x ^ { 2 } - 5 x - 24 } - \frac { 1 } { x ^ { 2 } - 3 x - 40 }$

• A) \(\frac { x + 27 } { ( x - 8 ) ( x - 3 ) ( x - 5 ) }\)
• B) \(\frac { 5 x + 27 } { ( x - 8 ) ( x + 3 ) ( x - 5 ) }\)
• C) \(\frac { 5 x + 27 } { ( x - 8 ) ( x + 3 ) ( x + 5 ) }\)
• D) \(\frac { 5 x + 27 } { ( x - 8 ) ( x - 3 ) ( x + 5 ) }\)
• E) \(\frac { x + 5 } { ( x - 8 ) ( x - 3 ) ( x - 5 ) }\)

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Definitions:

Pelvic Girdle

The skeletal structure in the pelvis area of vertebrates, consisting of hip bones that support the attachment of the lower limbs.

Bone Deposition

The process by which new bone tissue is formed, involving osteoblasts laying down new bone material, crucial for growth and bone healing.

Hormone

Chemical messengers produced by glands that regulate physiological activities by signaling distant organs.

Sarcoplasmic Reticulum

Specialized endoplasmic reticulum in muscle cells; stores and releases calcium ions.