This Rational Equation is EASIER Than it Looks!

This problem looks long and confusing, but there’s a simple pattern hiding inside it. In this step-by-step math tutorial, I solve the complex algebraic equation ((x+1)/(x+2))² + ((x+1)/(x+3)) = 12((x+2)/(x−3))² using a smart substitution that turns the whole equation into a² + ab = 12b². From there, it factorizes cleanly into (a−3b)(a+4b) = 0, breaking the problem into two much easier equations. This method helps you avoid messy expansion and saves a lot of time in exams like SAT, WAEC, and JAMB. If you want to get faster at algebra and start spotting hidden patterns in difficult questions, this is a technique you need to know. Watch till the end to see how a “hard” equation becomes simple in just a few steps. Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks! You can support me here: https://buymeacoffee.com/nonsomaths #maths #algebra #mathtutorial #matholympiad #learnmath