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Factor out the Greatest Common Factor.18x2 + 27x

Question

Factor out the Greatest Common Factor.18x2 + 27x

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Solution

Sure, here are the steps to factor out the Greatest Common Factor (GCF) from the expression 18x^2 + 27x:

  1. Identify the GCF of the coefficients (numbers) and the variables. The GCF of 18 and 27 is 9. The GCF of x^2 and x is x.

  2. Write down the GCF. So, the GCF is 9x.

  3. Divide each term in the original expression by the GCF. This gives us (18x^2 / 9x) + (27x / 9x).

  4. Simplify each term. This gives us 2x + 3.

  5. Write the factored form. The factored form is 9x(2x + 3).

So, the expression 18x^2 + 27x factored out by the GCF is 9x(2x + 3).

This problem has been solved

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