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A-APR.4 Warmup M3-004-A08-V02

Prove polynomial identities and use them to solve or describe numerical relationships.

Match a polynomial identity to labeled component areas or volumes

Problem

Use the rearranged area model to state the remaining area, rectangle dimensions, and matching polynomial identity.

Unsolved dissection: a b-by-b square is removed from an a-by-a square, leaving area a^2-b^2. The remainder is rearranged into a rectangle labeled a-b by a+b; its area expression is blank. Open full size
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Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-APR.4
Category
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Objective
Prove polynomial identities and use them to solve or describe numerical relationships.
Problem type
Match a polynomial identity to labeled component areas or volumes