Solved on Jan 25, 2024

Simplify the expression 6x224x6x^{2} - 24x.

STEP 1

Assumptions
1. We are given a quadratic expression 6x224x6x^{2} - 24x.
2. We need to simplify the expression by factoring it.

STEP 2

Identify the greatest common factor (GCF) of the terms in the expression.
The GCF of 6x26x^{2} and 24x-24x is 6x6x.

STEP 3

Factor out the GCF from the expression.
6x224x=6x(x4)6x^{2} - 24x = 6x(x - 4)

STEP 4

The expression is now fully factored.
The simplified form of the expression is 6x(x4)6x(x - 4).

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