Question 38
Algebraic ExpressionsSimplify 2/(a + b) − 1/(a − b)
- A.3/(a + b)
- B.(a − 3b)/(a2 − b2)
- C.(3a − b)/(a2 − b2)
- D.(a − 3b)/(a2 + b2)
Show the answer and explanation
Answer: B ((a − 3b)/(a2 − b2))
Explanation
2(a − b) − (a + b) = a − 3b over (a + b)(a − b) = a2 − b2.