Simplify an expression.

Question

Can someone check this work and let me know where I erred? My answer is not one of the selections on a quiz I am taking, and I am not sure where I made a mistake, or if my methodology is wrong. Thanks.

x x

---- + -----

2x+4 x+2

(x+2)x x(2x+4)

--------- + -----------

(2x+4) (x+2)

x²⁺+ 2x+ 2x²+ 4x

-------------------------

2x² +8x + 8

3x² + 6x

------------

(x+2)(x+2)

3x (x+2)

-----------

(x+2)(x+2)

3x

-----

x+2

Answer 1

3x/(2x+4) is the correct answer

your answer used the basic correct method

but you factored the denominator incorrectly in one step

2x^2 + 8x + 8 doesn't factor into (x+2)(x+2)