Question

Perform the operation and simplify please &thank you!

Answer 1

Simplify the given expression as follows:

• 
  `\cfrac{4x+1}{x^2-4} -\cfrac{3}{x-2} =`
• 
  `\cfrac{4x+1}{(x+2)(x-2)} -\cfrac{3}{x-2} =` Identity for difference of squares
• 
  `\cfrac{4x+1}{(x+2)(x-2)} -\cfrac{3(x+2)}{(x+2)(x-2)} =` Common denominator
• 
  `\cfrac{4x+1-3(x+2)}{(x+2)(x-2)} =` Simplify numerator
• 
  `\cfrac{4x+1-3x-6}{(x+2)(x-2)} =`
• 
  `\cfrac{x-5}{(x+2)(x-2)} =`
• 
  `\cfrac{x-5}{x^2-4} =`
• 
  `\cfrac{x+(-5)}{x^2+(-4)}`

The missing numbers are - 5 and - 4.