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Factorization : Finding the Factor of Distributed Terms

Compare the algebraic expression on the left and the number of objects on the first row in the picture on the right.

1. Can you divide the terms on the left into equal rows of (or sets) with exactly the same quantities of each type of variable? What is the maximum number of rows (or sets) can you have.

2. Can you recall what is the task of dividing into equal rows (sets) with same quantities in each row (set) similar to finding, when we are talking about composite numbers and factors? It is similar to finding the ______________________ of the given composites numbers.

3. When given an algebraic expression, the process of factorization of the algebraic expression starts with finding the __________________ of the terms in the expression.

4. To get the factorized expression, the original terms are _____________ the HCF of the terms.

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