PLEASE HELP ME. I believe I am correct. Thank you
Subtract: g/t+g - g/t-g = -2g^2/(t+g)(t-g)
g/t+g-g/t-g= g/t-g/t+g-g= 0
If this is your equation
g/t + g - g/t - g = 0
To subtract these two expressions: g/t+g - g/t-g, you need to find a common denominator for the fractions and combine them.
The given expression can be written as follows:
(g/(t+g)) - (g/(t-g))
To add or subtract fractions, you need a common denominator. In this case, the common denominator is (t+g)(t-g), as both fractions have a different denominator.
To obtain the common denominator, you multiply the first fraction by (t-g) and the second fraction by (t+g):
(g/(t+g)) * (t-g)/(t-g) - (g/(t-g)) * (t+g)/(t+g)
After simplifying, the expression becomes:
(g(t-g))/(t+g)(t-g) - (g(t+g))/(t-g)(t+g)
Now, let's simplify each fraction:
(gt - g^2)/(t+g)(t-g) - (gt + g^2)/(t-g)(t+g)
To subtract the two fractions, we need to find a common denominator, which in this case, is already provided.
The numerator will be (gt - g^2) - (gt + g^2), which simplifies to gt - g^2 -gt - g^2:
gt - g^2 - gt - g^2
Combine like terms:
-2g^2t - 2g^2
Finally, the simplified expression is:
-2g^2(t+g)(t-g)
So, the answer is -2g^2/(t+g)(t-g).