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Factoring Trinomials and GCF: Partitioning Techniques in Algebra

This document explores the process of factoring the expression DOPS: (7y+2)(7y-2) and finding its GCF. We focus on the first GCF method, demonstrating how to break down a trinomial into the product of two binomials, exemplified by 6(x+5)(x-4). Additionally, we cover important concepts like partitioning, substitution, and reflexive properties in algebraic expressions. Useful for students looking to deepen their understanding of these fundamental algebra techniques and improve their problem-solving skills.

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Factoring Trinomials and GCF: Partitioning Techniques in Algebra

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  1. DOPS: (7y+2)(7y-2) GCF: 1st GCF: Then trinomial: 6(x+5)(x-4)

  2. 30 12 12 x 60 12 30-60-90 C=10

  3. Partition Substitution Reflexive

  4. Given Given Given

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