2015
Mathematics
67ca00ce0c643c71d77dee1f
Simplify 1/(x+1) + 1/(x−1)
A.
2x/(x + 1)(x−3)
B.
2x/(x + 1)(x−1)
C.
2x/(x + 1)2
D.
2x(x+1)2
Correct Answer: 2x/(x + 1)(x−1)
Explanation
[1 ÷ (x+1)] + [1 ÷ (x − 1)] = ((x − 1) + [(x + 1)) ÷ (x+1)(x − 1)] Using the L.C.M. = (x − 1 + x + 1) ÷ (x + 1)(x − 1) = (x + 2 − 1 + 1) ÷ (x + 1)(x − 1) = 2x ÷ (x + 1)(x − 1) =2x ÷ (x + 1)(x − 1)
[1 ÷ (x+1)] + [1 ÷ (x − 1)] = ((x − 1) + [(x + 1)) ÷ (x+1)(x − 1)] Using the L.C.M. = (x − 1 + x + 1) ÷ (x + 1)(x − 1) = (x + 2 − 1 + 1) ÷ (x + 1)(x − 1) = 2x ÷ (x + 1)(x − 1) =2x ÷ (x + 1)(x − 1)THIS WEEK's
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