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:
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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.
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Write down the GCF. So, the GCF is 9x.
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Divide each term in the original expression by the GCF. This gives us (18x^2 / 9x) + (27x / 9x).
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Simplify each term. This gives us 2x + 3.
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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).
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