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@mathx9954 TEVETA Past Exam Question – Binomial Expansion (Step-by-Step Solution) In this video, we carefully solve a TEVETA past examination question on the Binomial Theorem, a very important topic in Engineering Mathematics. We are required to: • Obtain the first three terms in the expansion of (a + x/b)^6 in ascending powers of x. • Use the given information that: • • The first term is 64 • • The third term is (80/3)x² • Determine the values of a and b. • Find the second term. • Solve a full 10-mark structured exam problem. What You Will Learn • How to apply the Binomial Theorem correctly. • How to identify terms in ascending powers of x. • How to compare coefficients accurately. • How to extract unknown constants from given term values. • How to structure a full-mark exam solution. Why This Problem Is Important • This type of question frequently appears in TEVETA examinations. • It is common in Engineering Mathematics assessments. • It is relevant for Diploma and Technician level exams. • It prepares students for Calculus, Series Expansions, Engineering Approximations, and Advanced Mathematical Modelling. Subscribe for more structured, step-by-step Engineering Mathematics lessons. Mathematics made clear, logical, and exam-ready.