Answer:
A
Step-by-step explanation:
C and D are both wrong for the same reason. The denominator should be (x +1)*5 which means that either A or B is correct.
C and D have an error seldom seen on Brainly. It means that the denominator has been added rather than multiplied but even the addition is a little strange. Frankly, I don't know what has to be done to get either of them.
So the answer is
numerator: 5*(x + 9) + (x + 1)(x - 2)
denominator: 5*(x + 1)
Simplify the numerator. Remove the brackets.
numerator: 5x + 45 + x^2 - 2x + x - 2 Gather like terms
numerator: x^2 + 5x - 2x + x + 43 Simplify
numerator: x^2 + 4x + 43
Answer
x^2 + 4x + 43
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5(x + 1)
