25f/2f-10 + 5f/10f-50
To simplify this expression, let's take it step by step.
First, let's simplify the first term: 25f / (2f - 10).
In this term, we have a fraction with a numerator of 25f and a denominator of (2f - 10). To simplify this, we can factor out a common factor of f in the denominator:
25f / (2f - 10) = 25f / [f(2 - 5)] = 25f / [-3f] = -25/3.
Now, let's simplify the second term: 5f / (10f - 50).
In this term, we have a fraction with a numerator of 5f and a denominator of (10f - 50). To simplify this, we can factor out a common factor of 5 in both the numerator and the denominator:
5f / (10f - 50) = 5f / [5(2f - 10)] = 5f / [-5(2 - 5)] = -f / 3.
Now, we have simplified both terms. Let's write the expression in its simplified form:
-25/3 + -f/3.
To simplify further, we can combine the two terms by finding a common denominator, which is 3:
(-25 - f) / 3.
So, the simplified form of the expression 25f / (2f - 10) + 5f / (10f - 50) is (-25 - f) / 3.