The problem asks us to factor the linear expression $8x - 20$. The problem gives the factors of 8 and 20 and instructs us to find the greatest common factor (GCF) of 8 and 20. Then we need to divide each term in the expression $8x - 20$ by the GCF.

AlgebraFactoringLinear ExpressionsGreatest Common Factor (GCF)
2025/5/14

1. Problem Description

The problem asks us to factor the linear expression 8x208x - 20. The problem gives the factors of 8 and 20 and instructs us to find the greatest common factor (GCF) of 8 and
2

0. Then we need to divide each term in the expression $8x - 20$ by the GCF.

2. Solution Steps

Step 1: Find the GCF of 8 and
2

0. The factors of 8 are 1, 2, 4, and

8. The factors of 20 are 1, 2, 4, 5, 10, and

2

0. The common factors of 8 and 20 are 1, 2, and

4. The greatest common factor (GCF) of 8 and 20 is

4.
Step 2: Divide the GCF out of each term.
8x4=2x\frac{8x}{4} = 2x
204=5\frac{20}{4} = 5
Thus, 8x20=4(2x5)8x - 20 = 4(2x - 5).

3. Final Answer

GCF = 4
8x20=4(2x5)8x - 20 = 4(2x - 5)
The answer is 4.

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