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Student:
Date:
qquad
Factor out the greatest commor

(18x^(2)+12 x)/(18x^(2)+12 x=)

◻

Student: $\newline$ Date: $\qquad$ $\newline$ Factor out the greatest commor $\newline$ $\frac{18 x^{2}+12 x}{18 x^{2}+12 x=}$ $\newline$ $\square$

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Operations with rational exponents

Full solution

Q. Student:

\newline

Date:

\qquad

\newline

Factor out the greatest commor

\newline

\frac{18 x^{2}+12 x}{18 x^{2}+12 x=}

\newline

\square

Question Prompt: Question_prompt: What is the greatest common factor of the terms in the expression $18x^2 + 12x$ ?
Identify GCF: Identify the greatest common factor (GCF) of $18x^2$ and $12x$ . GCF of $18$ and $12$ is $6$ . GCF of $x^2$ and $x$ is $x$ .
Factor Out GCF: Factor out the GCF from the expression. $6x(3x + 2)$ .
Check Factoring: Check if the expression is fully factored by distributing $6x$ back into the parentheses. $6x \times 3x + 6x \times 2 = 18x^2 + 12x.$
Write Final Expression: Write the final factored expression. $\newline$ $(18x^2 + 12x) = 6x(3x + 2)$ .

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