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Consider the Addition Problem 8x2+52x\frac { 8 } { x - 2 } + \frac { 5 } { 2 - x }

Question 122

Multiple Choice

Consider the addition problem. 8x2+52x\frac { 8 } { x - 2 } + \frac { 5 } { 2 - x } Note that the denominators are opposites of each other. If the property ab=ab\frac { a } { - b } = - \frac { a } { b } is applied to the second fraction, we have 52x=5x2\frac { 5 } { 2 - x } = - \frac { 5 } { x - 2 } Thus we proceed as follows: 8x2+52x=8x25x2=85x2=3x2\frac { 8 } { x - 2 } + \frac { 5 } { 2 - x } = \frac { 8 } { x - 2 } - \frac { 5 } { x - 2 } = \frac { 8 - 5 } { x - 2 } = \frac { 3 } { x - 2 } Use this approach to do the following problem. 9a757a\frac { 9 } { a - 7 } - \frac { 5 } { 7 - a }


A) 157a- \frac { 15 } { 7 - a }
B) 14a7\frac { 14 } { a - 7 }
C) 97a\frac { 9 } { 7 - a }
D) 147a\frac { 14 } { 7 - a }

Correct Answer:

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