Operation of subtraction on the two radical expressions

4x+5/x+5 - 5x+6/x+5

please help me, thanks

Use brackets to make things clearer.

I think you mean:

(4x + 5)/(x+5) - (5x + 6)/(x+5)

step 1:
factor out the common denominator:

[(4x + 5) - (5x + 6) ] / (x + 5)

step 2, perform the operations inside the square brackets:

[ 4x + 5 - 5x - 6 ] = [ (4-5)x + (5-6) ] = [ -x - 1 ] = [ -(x+1) ]

step 3: put everything back together

-(x+1)/(x+5)

It cannot be reduced any further.

Will assume that question is actually incorrect and SHOULD be shown as :-

( 4x + 5 ) / ( x + 5 ) - ( 5x + 6 ) / ( x + 5 )

4x + 5 - 5x - 6
--------------------
( x + 5 )

- x - 1
-----------
x + 5

- ( x + 1 )
---------------
x + 5