Factor 9x+18 using theGCF

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

To find the greatest common factor (GCF) of the terms, we need to break down both terms into their prime factors and identify the common factors.

For 9x:
- 9 can be broken down into the prime factor 3 * 3.
- x is already a prime factor.

For 18:
- 18 can be broken down into the prime factor 2 * 3 * 3.

The common factor is 3, but we also need to consider the variable x, which is present in the term 9x but not in the constant term 18. Therefore, the GCF of 9x and 18 is 3.

To factor 9x + 18 using the GCF of 3, we divide both terms by 3:
9x / 3 = 3x
18 / 3 = 6

The factored form of 9x + 18 is:
3(3x + 6)

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