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WAEC Mathematics 2014 Objective — Question 36

Question 36 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

If 2/(x−3) − 3/(x−2) is equal to P/((x−3)(x−2)), find P.

A. −x−5
B. −(x+3)
C. 5x−13
D. 5−xCorrect

Explanation

Combining over the common denominator: P = 2(x−2)−3(x−3) = 2x−4−3x+9 = 5−x.

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