Adding and subtracting rational expressions
1 answer:
Answer:
Step-by-step explanation:
When adding or subtracting rational expressions, it is easiest to find a common denominator.
Ex.
![\frac{x+2}{x-5} + \frac{x-7}{x} \\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B2%7D%7Bx-5%7D%20%2B%20%5Cfrac%7Bx-7%7D%7Bx%7D%20%20%5C%5C)
The common denominator would be ![x(x-5)](https://tex.z-dn.net/?f=x%28x-5%29)
We need to make both fractions have that denominator
![\frac{(x+2)(x)}{(x-5)x} + \frac{(x-7)(x-5)}{x(x-5)} \\\frac{(x^2+2x)+(x^2-12x+35)}{(x^2-5x)}\\\frac{2x^2-10x+35}{(x^2-5x)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B2%29%28x%29%7D%7B%28x-5%29x%7D%20%2B%20%5Cfrac%7B%28x-7%29%28x-5%29%7D%7Bx%28x-5%29%7D%20%20%5C%5C%5Cfrac%7B%28x%5E2%2B2x%29%2B%28x%5E2-12x%2B35%29%7D%7B%28x%5E2-5x%29%7D%5C%5C%5Cfrac%7B2x%5E2-10x%2B35%7D%7B%28x%5E2-5x%29%7D)
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Step-by-step explanation:
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Step-by-step explanation:
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