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Factorize each of the following:

(i) [tex]9x - 6[/tex]

Sagot :

GinnyAnswer
To factorize the expression [tex]\( 9x - 6 \)[/tex], we need to find the greatest common factor (GCF) of the terms.

1. Identify the GCF:
- The terms in the expression are [tex]\( 9x \)[/tex] and [tex]\( -6 \)[/tex].
- The numerical coefficients are 9 and -6.
- The GCF of 9 and -6 is 3.

2. Factor out the GCF:
- Factor the GCF (which is 3) out of each term in the expression.

Thus,
[tex]\[ 9x - 6 = 3(3x) - 3(2) \][/tex]

3. Simplify the factored expression:
- When we factor 3 out of both terms, we get:
[tex]\[ 9x - 6 = 3(3x - 2) \][/tex]

Therefore, the expression [tex]\( 9x - 6 \)[/tex] can be factorized as
[tex]\[ \boxed{3(3x - 2)} \][/tex]
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