Me quick what is the simplified form of x+9/x+1 + x-2/5?

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 . 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

5(x + 1)