How To: Factor out when doing rational expressions in algebra

Factor out when doing rational expressions in algebra

This video shows the method to simplify rational expressions. The example used in the video is multiple of 4 and x square plus multiple of 4 and x plus 1 or (4x^2 + 4x + 1)/(2x^3 + 11x^2 + 5x). As the first and last term is a perfect square we get the simplified numerator as (2x + 1)(2x + 1). Next, the denominator is simplified. Taking the common factor out we get x(2x^2 + 11x + 5). Now we factorize 2x^2 + 11x + 5. We get (2x + 1)(x + 5 ). Now, writing the terms in numerator and denominator we get [(2x + 1)(2x + 1)]/[x(2x + 1)(x + 5)]. Cancelling the common factor we get (2x + 1)/[x(x + 5)] as the final answer.

Want to master Microsoft Excel and take your work-from-home job prospects to the next level? Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more.

Buy Now (97% off) >

Our Best Phone Hacks

Gadget Hacks' tips — delivered daily.

Be the First to Comment

Share Your Thoughts

  • Hot
  • Latest