Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Apply the distributive property to factor out the greatest common factor.

60 m-40=

Apply the distributive property to factor out the greatest common factor. $\newline$ $60 m-40=$

View step-by-step help

View step-by-step help

Factor out a monomial

Full solution

Q. Apply the distributive property to factor out the greatest common factor.

\newline

60 m-40=

Identify GCF of $60m$ and $40$ : Identify the greatest common factor (GCF) of the terms $60m$ and $40$ . $\newline$ The factors of $60$ are $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30,$ and $60$ . $\newline$ The factors of $40$ are $1, 2, 4, 5, 8, 10, 20,$ and $40$ . $\newline$ The common factors are $40$ $0$ and $40$ $1$ . $\newline$ The greatest common factor is $40$ $1$ .
Write terms as product of GCF and another factor: Write each term as a product of the GCF and another factor. $\newline$ $60m$ can be written as $20 \times 3m$ . $\newline$ $40$ can be written as $20 \times 2$ .
Factor out the GCF using distributive property: Use the distributive property to factor out the GCF. $\newline$ The expression $60m - 40$ can be written as $20 \times 3m - 20 \times 2$ . $\newline$ Factoring out the GCF, we get $20(3m - 2)$ .

More problems from Factor out a monomial

Question

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

1

, just retype the polynomial.

\newline

4x^3 - 6x^2

\newline

Posted 9 months ago

Question

x^4 + 8x^2 + 16

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 9 months ago

Question

Find the binomial that completes the factorization.

\newline

t^3 + u^3 = (\underline{\hspace{1cm}}) (t^2 - tu + u^2)

Posted 9 months ago

Question

\newline

g^2 - 11g + 18

Posted 9 months ago

Question

\newline

2y^3 - y^2 + 16y - 8

\newline

\newline

Posted 9 months ago

Question

\newline

2x^8 + 7x^2

\newline

Posted 10 months ago

Question

\newline

9y^{12} + 4y^5 - y^2

\newline

Posted 9 months ago

Question

\newline

6a^4 + 3a^3 - a + 2

\newline

Posted 9 months ago

Question

\newline

4c^7 - 2c^5 + c^2 - 5

\newline

Posted 9 months ago

Question

\newline

7m^9 + 2m^6 - m^3 + 4m - 10

\newline

Posted 9 months ago

Related topics

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