Simplify: 4/(4x - 5) - 1/(x + 1)
A9/((x+1)(4x-5))
B3/(4x-5)
C(4 - x)/(x+1)
D1/(4x-5)
Answer & Solution
Correct answer: A. 9/((x+1)(4x-5))
Common denominator (x+1)(4x-5). 4/(4x-5) = 4(x+1)/[(x+1)(4x-5)] = (4x+4)/[(x+1)(4x-5)]. And 1/(x+1) = (4x-5)/[(x+1)(4x-5)]. Subtracting: (4x+4) - (4x-5) = 9. So result = 9/[(x+1)(4x-5)].
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