# How do you simplify #((3x-1) / (x^2+5x)) - ((2x-1) / (x^2-25))#?

By signing up, you agree to our Terms of Service and Privacy Policy

By signing up, you agree to our Terms of Service and Privacy Policy

To simplify the expression ((3x-1) / (x^2+5x)) - ((2x-1) / (x^2-25)), we need to find a common denominator for the two fractions. The common denominator is (x^2+5x)(x^2-25).

Next, we can multiply the first fraction by (x^2-25) and the second fraction by (x^2+5x), which gives us:

((3x-1)(x^2-25) / (x^2+5x)(x^2-25)) - ((2x-1)(x^2+5x) / (x^2+5x)(x^2-25))

Expanding and simplifying the numerators, we get:

(3x^3 - 76x + 25) - (2x^3 + 10x^2 - x^2 - 5x)

Combining like terms, we have:

3x^3 - 76x + 25 - 2x^3 - 9x^2 - 5x

Simplifying further, we get:

x^3 - 9x^2 - 81x + 25

Therefore, the simplified expression is x^3 - 9x^2 - 81x + 25.

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7