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Factor completely: [tex]6x - 18[/tex]

A. [tex]6(x + 3)[/tex]

B. [tex]6(x - 3)[/tex]

C. [tex]6x(-18)[/tex]

D. Prime

Sagot :

GinnyAnsweridn
To factor the expression [tex]\(6x - 18\)[/tex] completely, follow these detailed steps:

1. Identify the common factor:
First, look at the coefficients and constant term in the expression [tex]\(6x - 18\)[/tex]. Notice that both 6 and 18 have a common factor which is 6.

2. Factor out the common factor:
Extract the common factor of 6 from each term in the expression.

[tex]\[ 6x - 18 = 6(x) - 6(3) \][/tex]

3. Simplify the expression:
By factoring out the 6, we get:

[tex]\[ 6(x - 3) \][/tex]

So the expression [tex]\(6x - 18\)[/tex] factors completely to [tex]\(6(x - 3)\)[/tex].

Therefore, the correct factored form of [tex]\(6x - 18\)[/tex] is:

[tex]\[ 6(x - 3) \][/tex]
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