- 2x^3

Question

2x√(x^2+5) -----------
x^2+5
--------------------------------------- ***The lines are fraction lines***
x^2+5
This question asks you to simplify or perform the indicated operation. The answer is also given as 10x
----------
(x^2+5)^3

can someone help explain how they got the answer?

Answer 1

oops it didnt work correctly

Answer 2

2x√(x^2+5) -2x^3/x^2+5
---------------------------------
x^2+5

The answer was
10x
--------------
(x^2+5)^3

Answer 3

2x√(x^2+5) -2x^3/(x^2+5)
--------------------------------- ?????
(x^2+5)
================================
2x (x^2+5)^(3/2) - 2 x^3
---------------------------------
(x^2+5)^2
===================================
2x(x^2+5)^(5/2) -2 x^3 (x^2+5)
-----------------------------------------
(x^2+5)^3
=================================
2x[ (x^2+5)^(5/2) -x (x^2+5) ]
---------------------------------------
(x^2+5)^3
============================
2x[ (x^2+5)^(5/2) -x (x^2+5) ]
---------------------------------------
(x^2+5)^3

how you get the numerator to be 2x * 5 I do not know

Answer 4

well one error: note -x^2 not -x
============================
2x[ (x^2+5)^(5/2) -x^2 (x^2+5) ]
---------------------------------------
(x^2+5)^3