Do Not Expand! Do This Instead.

In this math tutorial, I solve the equation (25x²−1)(10x+1)(2x+1)=11 using a clever algebra trick that avoids expanding everything into a complicated fourth-degree polynomial. By rewriting the expression as 5(5x−1)(2x+1)(5x+1)(2x+1/5), multiplying the factors in pairs, and introducing the substitution d=10x²+3x, the equation simplifies dramatically. After a short expansion and factorization, the problem reduces to the simple equations d−2=0 and 5d+6=0, making it easy to find all real solutions. If you are searching for algebra tricks, factorization methods, substitution techniques, polynomial equations, or Olympiad-style math problems, this video will show you a powerful way to simplify difficult-looking equations. Whether you're preparing for exams, improving your algebra skills, or simply enjoy elegant mathematics, you'll learn a useful pattern that can help solve many challenging equations without lengthy calculations. Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks! #maths #algebra #matholympiad