Simplify the Expression $\frac { x } { x ^ { 2 } + 10 x + 21 } - \frac { 2 } { x ^ { 2 } + 9 x + 14 }$

question 37

Multiple Choice

Simplify the expression. $\frac { x } { x ^ { 2 } + 10 x + 21 } - \frac { 2 } { x ^ { 2 } + 9 x + 14 }$

• A) \(\frac { x ^ { 2 } - 6 } { ( x + 3 ) ( x + 7 ) ( x + 2 ) }\)
• B) \(\frac { x - 2 } { ( x + 3 ) ( x + 2 ) }\)
• C) \(\frac { x ^ { 2 } - 14 } { ( x + 3 ) ( x + 2 ) }\)
• D) \(\frac { x ^ { 2 } - 6 } { ( x + 3 ) ( x + 2 ) }\)
• E) \(\frac { x ^ { 2 } - 21 } { ( x + 3 ) ( x + 7 ) ( x + 2 ) }\)

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Definitions:

Hydrogen Bonding

A type of weak chemical bond that is formed between the hydrogen atom in one molecule and an electronegative atom in another molecule.

Water Molecules

The smallest unit of water (H2O), consisting of two hydrogen atoms covalently bonded to a single oxygen atom, essential for life and all known forms of chemistry.

Charge

The property of matter that causes it to experience a force when placed in an electromagnetic field.

Humidity

A measure of the amount of water vapor present in the air, often expressed as a percentage.