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The problem is to factor out the greatest common factor from the expression $7x(a+8b)-(a+8b)$.

AlgebraFactoringGreatest Common FactorPolynomials
2025/3/22

1. Problem Description

The problem is to factor out the greatest common factor from the expression 7x(a+8b)−(a+8b)7x(a+8b)-(a+8b).

2. Solution Steps

We want to factor out the greatest common factor (GCF) from the given expression 7x(a+8b)−(a+8b)7x(a+8b)-(a+8b).
Notice that the term (a+8b)(a+8b) is common to both parts of the expression. We can factor it out.
7x(a+8b)−(a+8b)=(7x−1)(a+8b)7x(a+8b) - (a+8b) = (7x-1)(a+8b)

3. Final Answer

(7x−1)(a+8b)(7x-1)(a+8b)

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