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Expand the binomial using Pascal's Triangle and the Binomial Theorem. 16. (k + 13)5 17. (5m – - n)³ 18. (6х3 — 4у)*

Expand the binomial using Pascal's Triangle and the Binomial Theorem. 16. (k + 13)5 17. (5m – - n)³ 18. (6х3 — 4у)*

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Expand the binomial using Pascal's Triangle and the Binomial Theorem. 16. (k + 13)5 17. (5m — п)3 18. (бх3 — 4у)4 Find indicated term. 19. The eight term of the expansion (11x – 4)° 20. The coefficient of x’ in the expansion of (3p – 2q)2
Transcribed Image Text:Expand the binomial using Pascal's Triangle and the Binomial Theorem. 16. (k + 13)5 17. (5m — п)3 18. (бх3 — 4у)4 Find indicated term. 19. The eight term of the expansion (11x – 4)° 20. The coefficient of x’ in the expansion of (3p – 2q)2
Find the indicated term. 19. The eight term of the expansion (11x – 4)° 20. The coefficient of x’ in the expansion of (3p – 2q)12 21. Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 3+4+5+...+(n+2)=-n(n+5)
Transcribed Image Text:Find the indicated term. 19. The eight term of the expansion (11x – 4)° 20. The coefficient of x’ in the expansion of (3p – 2q)12 21. Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n. 3+4+5+...+(n+2)=-n(n+5)
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