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Chapter 31.7
Binomial theorem
What You'll Learn
Apply the Binomial Theorem formula to expand binomials raised to any power
Use combinatorics (nCk) to determine coefficients in binomial expansions
Identify and calculate specific terms in an expansion without fully expanding
Recognize patterns in binomial expansions including alternating signs
Find constant terms and middle terms in binomial expansions
What You'll Practice
1
Expanding binomials with positive and negative terms to various powers
2
Finding specific terms (fourth term, middle term, constant term) in expansions
3
Calculating coefficients for terms containing specific variable powers
4
Working with binomials containing fractions and multiple variables
Why This Matters
The Binomial Theorem saves you enormous time when expanding expressions raised to high powers. Instead of multiplying out (x + 2)^10 by hand, you'll use this efficient formula throughout algebra, calculus, probability, and statistics.
Before You Start — Make Sure You Can:
This Unit Includes
7 Video lessons
Practice exercises
Skills
Binomial Theorem
Combinatorics
Polynomial Expansion
Coefficients
Exponents
Pascal's Triangle
Algebra
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