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For the Equation, Determine the Constants a and B That x(x+8)(x8)=A(x+8)+B(x8)\frac { x } { ( x + 8 ) ( x - 8 ) } = \frac { A } { ( x + 8 ) } + \frac { B } { ( x - 8 ) }

Question 88

Multiple Choice

For the equation, determine the constants A and B that make the equation an identity.
- x(x+8) (x8) =A(x+8) +B(x8) \frac { x } { ( x + 8 ) ( x - 8 ) } = \frac { A } { ( x + 8 ) } + \frac { B } { ( x - 8 ) }


A) A=12, B=12\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = \frac { 1 } { 2 }
B) A=12, B=1\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = 1
C) A=1,B=12A = 1 , B = \frac { 1 } { 2 }
D) A=12, B=12\mathrm { A } = - \frac { 1 } { 2 } , \mathrm {~B} = \frac { 1 } { 2 }

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