Olympiad Math Shortcut: 105⁴ − 95⁴ Solved Fast #mathstricks

In this video, we solve the expression 105⁴ − 95⁴ using a powerful Olympiad-level algebraic identity. Instead of calculating two enormous fourth powers, we use the difference of fourth powers formula and a clever observation that 105 and 95 are equally spaced around 100. You'll learn: The identity a⁴ − b⁴ = (a − b)(a + b)(a² + b²) How to recognize symmetric numbers A fast Olympiad trick for competitive exams Mental math techniques for large exponents Final Answer: 105⁴ − 95⁴ = 40,100,000 This tutorial is perfect for students preparing for math Olympiads, SAT, AMC, JEE, and other competitive mathematics exams. If you enjoyed the video, please LIKE, SHARE, and SUBSCRIBE for more math tricks, Olympiad questions, and step-by-step tutorials! 00:00 Introduction 00:25 The Question: 105⁴ − 95⁴ 00:55 Why Direct Calculation Is Difficult 01:35 Recognizing the Pattern (a⁴ − b⁴) 02:15 The Identity Explained 03:00 Finding (a − b) and (a + b) 04:00 Calculating a² + b² 05:20 Multiplying the Factors 06:15 Arriving at the Final Answer 07:00 Olympiad Trick Explained Again 07:40 Key Takeaways & Exam Tips 07:55 Outro and Subscribe 105^4 - 95^4, Olympiad math, algebra identities, difference of fourth powers, math tricks, competitive math, mental math, SAT math, JEE mathematics, AMC problems, algebra tutorial, exponent tricks, fast math, math olympiad questions, mathematics for beginners, large powers shortcut, factorization tricks, exam math hacks, math tutorial, aytella7 #Math #MathOlympiad #MathTricks #Algebra #CompetitiveMath #MentalMath #Olympiad #JEE #SATMath #MathTutorial #LearnMath #Education #Exponents #Factorization #AITELLA7