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Factor the expression by finding the GCF.

[tex]\[ 16m^2 - 12m \][/tex]

Select the correct answer.

A. [tex]\(4m(4m - 3)\)[/tex]
B. [tex]\(2m(8m - 6)\)[/tex]
C. [tex]\(m(16m - 12)\)[/tex]
D. [tex]\(4m(16m - 12)\)[/tex]



Answer :

GinnyAnswer
To factor the given expression [tex]\(16m^2 - 12m\)[/tex], we will follow these steps:

1. Identify the Greatest Common Factor (GCF):
- First, look at the coefficients of the terms in the expression, which are 16 and 12.
- Determine the GCF of these coefficients. The GCF of 16 and 12 is 4.
- Both terms also contain the variable [tex]\(m\)[/tex], and the smallest power of [tex]\(m\)[/tex] present in the terms is [tex]\(m\)[/tex].

So, the GCF of the entire expression is [tex]\(4m\)[/tex].

2. Factor out the GCF:
- The expression can be rewritten by factoring out [tex]\(4m\)[/tex] from both terms.

[tex]\[ 16m^2 - 12m = 4m(4m) - 4m(3) \][/tex]

- Combine the factored terms:

[tex]\[ 16m^2 - 12m = 4m(4m - 3) \][/tex]

So, the factored form of the expression [tex]\(16m^2 - 12m\)[/tex] is [tex]\(4m(4m - 3)\)[/tex].

Therefore, the correct answer is:
[tex]\[ 4m(4m - 3) \][/tex]

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