Perform the Indicated Operation and Simplify $$\frac { 3 b ^ { 2 } - 14 b - 5 } { b ^ { 2 } - 25 } \cdot \frac { 2 b ^ { 2 } + 8 b - 10 } { 3 b ^ { 2 } + 10 b + 3 }$$

question 66

Multiple Choice

Perform the indicated operation and simplify. $$\frac { 3 b ^ { 2 } - 14 b - 5 } { b ^ { 2 } - 25 } \cdot \frac { 2 b ^ { 2 } + 8 b - 10 } { 3 b ^ { 2 } + 10 b + 3 }$$

• A) \(\frac { b - 2 } { b + 2 }\)
• B) \(\frac { 2 b } { b + 6 }\)
• C) \(\frac { 5 b + 2 } { b + 6 }\)
• D) \(\frac { 2 b - 2 } { b + 3 }\)
• E) \(\frac { 5 b - 3 } { b - 3 }\)

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Definitions:

Urinary Bladder

A muscular sac in the pelvis that stores urine until it is expelled from the body.

Peritubular Capillary Network

A network of tiny blood vessels that surrounds the tubules in the kidneys, playing a critical role in the process of reabsorption and exchange of substances between blood and the tubular fluid.

Afferent Arteriole

A small artery that leads toward the capillaries of the glomerulus in the kidney, playing a key role in the filtration of blood.

Efferent Arteriole

A small blood vessel that carries blood away from the glomerulus of the kidney to the peritubular capillaries, playing a key role in regulating blood pressure and filtration rate in the kidney.