I'm looking to see if I did this right or not. ((y-5)/((x^2+5x)(x^2+5y)))+((1)/(x+y))-((2)/(x+5)) = ((y-5)/(x+y)(x+5))+((1(x+5)/(x+y)(x+5))-((2(x+y)/(x+y)(x+5)) = ((y-5)+1(x+5)-2(x+y)/(x+y)(x+5)) = y-6?
I saw this question earlier and did not respond to it, since it looks just awful.
The run-on sentence is just as bad in Math as it is in English.
Are you solving an equation?
I can't make it out, you are setting expressions equal to each other, which clearly cannot be equal.
I appoligize....im solving for the first set of long set of ( ) before the = sign.
To determine if your simplification is correct, let's go through the steps of simplifying the given expression:
((y-5)/((x^2+5x)(x^2+5y)))+((1)/(x+y))-((2)/(x+5))
Step 1: Simplify the denominators
The denominators can be simplified as follows:
x^2 + 5x = x(x + 5)
x^2 + 5y = y(x + 5)
(x + y)(x + 5)(x + 5)(x + 5)
After simplifying the denominators, we have:
((y-5)/(x(x + 5)y(x + 5)))+((1)/(x+y))-((2)/(x+5))
Step 2: Find a common denominator
The common denominator for all three terms is (x + y)(x + 5)(x + 5).
After finding the common denominator, we have:
((y-5)(x + 5)(x + 5) + (1)(y(x + 5)) - (2)(y(x + 5)))/((x + y)(x + 5)(x + 5))
Step 3: Simplify the numerator
Expanding and simplifying the numerator:
((yx + 5y - 5x - 25) + (yx + 5y) - (2yx + 10y))/(x + y)(x + 5)(x + 5)
This can be further simplified as:
(-5x - 25 + 5y + yx + 5y - 2yx - 10y)/(x + y)(x + 5)(x + 5)
Combining like terms:
(-7x - 2yx + 10y - 25)/(x + y)(x + 5)(x + 5)
Step 4: Simplify the expression further
Now, distribute the negative sign across the numerator:
-(7x + 2yx - 10y + 25)/(x + y)(x + 5)(x + 5)
Finally, we get:
-(7x + 2yx - 10y + 25)/(x + y)(x + 5)^2
So the simplified form of the given expression is -(7x + 2yx - 10y + 25)/(x + y)(x + 5)^2.
It appears that your simplification of y-6 is not correct.