For the Equation, Determine the Constants a and B That $$\frac { x } { ( x + 2 ) ( x - 2 ) } = \frac { A } { ( x + 2 ) } + \frac { B } { ( x - 2 ) }$$

question 423

Multiple Choice

For the equation, determine the constants A and B that make the equation an identity.
- $$\frac { x } { ( x + 2 ) ( x - 2 ) } = \frac { A } { ( x + 2 ) } + \frac { B } { ( x - 2 ) }$$

• A) \(\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = 1\)
• B) \(A = 1 , B = \frac { 1 } { 2 }\)
• C) \(\mathrm { A } = - \frac { 1 } { 2 } , \mathrm {~B} = \frac { 1 } { 2 }\)
• D) \(\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = \frac { 1 } { 2 }\)

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