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A-APR.5 Warmup M3-005-A01-V02

Apply the Binomial Theorem for expanding (x+y)^n using Pascal's Triangle or combinatorial reasoning.

Expand a binomial power using Pascal's Triangle

Problem

Use Pascal's Triangle to expand \((a~-~b)^3\).

Pascal's Triangle through row 3, with row 3 highlighted as 1, 3, 3, 1 for (a-b)^3. Apply these coefficients to descending powers of a and ascending powers of negative b; the expansion is withheld. Open full size
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Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-APR.5
Category
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Objective
Apply the Binomial Theorem for expanding (x+y)^n using Pascal's Triangle or combinatorial reasoning.
Problem type
Expand a binomial power using Pascal's Triangle