Simplifying and operating with rational expressions and equations
Simplify: (x² - 9)/(x - 3)
Factor numerator as (x-3)(x+3) and cancel common factor (x-3)
Add: 1/x + 2/(x+1)
Find common denominator x(x+1) and combine numerators
Solve: 2/(x-1) = 3/(x+2)
Cross-multiply: 2(x+2) = 3(x-1), then solve linear equation
Simplify: (x² + 2x)/(x² - 4)
Factor numerator x(x+2) and denominator (x-2)(x+2), cancel (x+2)
What is the domain of (x+1)/(x²-4)?
Denominator cannot be zero: x²-4=0 when x=2 or x=-2