Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the greatest common factor. $\newline$ $9b^2, 6b^3$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

View step-by-step help

View step-by-step help

GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

9b^2, 6b^3

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

______

Factorization of $9b^2$ : First find the complete factorization of $9b^2$ . $\newline$ $9 = 3 \times 3$ $\newline$ $b^2 = b \times b$ $\newline$ $9b^2 = 3 \times 3 \times b \times b$
Factorization of $6b^3$ : Now, find the complete factorization of $6b^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $b^3 = b \times b \times b$ $\newline$ $6b^3 = 2 \times 3 \times b \times b \times b$
Find Greatest Common Factor: We found: $\newline$ $9b^2 = 3 \times 3 \times b \times b$ $\newline$ $6b^3 = 2 \times 3 \times b \times b \times b$ $\newline$ Find the greatest common factor of $9b^2$ and $6b^3$ . $\newline$ Common factors are $3$ , $b$ , and $b$ . $\newline$ $3 \times b \times b = 3b^2$ $\newline$ Greatest common factor: $3b^2$

More problems from GCF of monomials

Question

Find the greatest common factor.

\newline

9v^3, 6v^3

\newline

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\underline{\hspace{1cm}}

Posted 5 months ago

Question

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

1

, just retype the polynomial.

\newline

6x^3 + 9x^2

\newline

Posted 5 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 5 months ago

Question

\newline

9j^2 - 16

\newline

Posted 5 months ago

Question

\newline

j^3 + 2j^2 + 5j + 10

Posted 5 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 9 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 8 months ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 10 months ago

Question

3 - 3^2

Posted 10 months ago

Question

5 - 5^2

Posted 7 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant