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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $3b^3 - 6b^2$

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Factor out a monomial

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Q. Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

3b^3 - 6b^2

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms $3b^3$ and $6b^2$ . The factors of $3b^3$ are $3$ , $b$ , $b$ , and $b$ . The factors of $6b^2$ are $2$ , $3$ , $b$ , and $b$ . The common factors are $3$ , $b$ , and $b$ . The GCF of $3b^3$ and $6b^2$ is $6b^2$ $7$ .
Write terms as product: Write each term as the product of the GCF and the remaining factors. $\newline$ For $3b^3$ , we have $3b^3 = 3b^2 \times b$ . $\newline$ For $6b^2$ , we have $6b^2 = 3b^2 \times 2$ .
Factor out GCF: Factor out the GCF from the polynomial. $\newline$ $3b^3 - 6b^2$ can be written as $3b^2(b) - 3b^2(2)$ . $\newline$ This simplifies to $3b^2(b - 2)$ .

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