Find the Partial Fraction Decomposition $\frac { 6 } { 4 x ^ { 2 } - 36 }$

question 139

Multiple Choice

Find the partial fraction decomposition.
- $\frac { 6 } { 4 x ^ { 2 } - 36 }$

• A) \(\frac { 1 / 2 } { 2 x - 6 } + \frac { - 1 / 2 } { ( 2 x - 6 ) ^ { 2 } }\)
• B) \(\frac { 1 } { 2 x - 6 } + \frac { - 1 } { 2 x + 6 }\)
• C) \(\frac { 1 / 2 } { 2 x + 6 } + \frac { - 1 / 2 } { 2 x - 6 }\)
• D) \(\frac { 1 / 2 } { 2 x - 6 } + \frac { - 1 / 2 } { 2 x + 6 }\)

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Definitions:

Degrees Of Freedom

The number of independent values or quantities that can vary in an analysis without violating any constraints.

Bonding Strength

A measure of the force required to separate two bonded surfaces, commonly assessed in materials science.

Thermal Protection Tiles

Materials used on spacecraft exteriors to protect against high temperatures during re-entry into Earth's atmosphere.

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution or a system without violating any constraint.