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The problem asks us to factor the given algebraic expressions. We will solve the first problem. The expression is: $8x + 12y - 4z$

AlgebraFactoringAlgebraic ExpressionsGreatest Common Factor
2025/4/26

1. Problem Description

The problem asks us to factor the given algebraic expressions. We will solve the first problem.
The expression is:
8x+12y−4z8x + 12y - 4z

2. Solution Steps

Step 1: Identify the greatest common factor (GCF) of the coefficients. The coefficients are 8, 12, and -

4. The GCF of 8, 12, and 4 is

4. Step 2: Factor out the GCF from the expression.

8x+12y−4z=4(2x)+4(3y)−4(z)=4(2x+3y−z)8x + 12y - 4z = 4(2x) + 4(3y) - 4(z) = 4(2x + 3y - z)

3. Final Answer

The factored form of the expression 8x+12y−4z8x + 12y - 4z is 4(2x+3y−z)4(2x + 3y - z).

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