Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find `m`5m2+7m2m92m2m9\qquad\dfrac{5m^2+7m}{2m-9}-\dfrac{2m}{2m-9}

Full solution

Q. Find `m`5m2+7m2m92m2m9\qquad\dfrac{5m^2+7m}{2m-9}-\dfrac{2m}{2m-9}
  1. Identify common denominator: Identify the common denominator in both fractions to combine them.\newlineThe common denominator is already present, which is (2m9)(2m-9).
  2. Combine numerators: Combine the numerators over the common denominator.\newlineThe combined fraction is (5m2+7m)(2m)2m9\frac{(5m^2+7m) - (2m)}{2m-9}.
  3. Distribute negative sign: Distribute the negative sign to the second term in the numerator.\newlineThis gives us (5m2+7m2m)/(2m9)(5m^2+7m - 2m)/(2m-9).
  4. Combine like terms: Combine like terms in the numerator.\newlineThis simplifies to (5m2+5m)/(2m9)(5m^2 + 5m)/(2m-9).
  5. Check for further factoring: Check if the numerator can be factored further. The numerator cannot be factored further since 5m2+5m5m^2 + 5m does not have a common factor with 2m92m-9.
  6. Write final expression: Write down the final simplified expression.\newlineThe final simplified expression is (5m2+5m)/(2m9)(5m^2 + 5m)/(2m-9).

More problems from Simplify radical expressions involving fractions