Factor the expression completely.

27, x, plus, 72

27*x*+72

To factor the expression \( 27x + 72 \), we need to find the greatest common factor (GCF) of the terms.

The two terms are:

1. \( 27x \)
2. \( 72 \)

The GCF of 27 and 72 is 9, because both 27 and 72 are divisible by 9.

Now, we factor out the GCF from the entire expression:

\[
27x + 72 = 9(3x + 8)
\]

So, the factored form of \( 27x + 72 \) is:

\[
9(3x + 8)
\]

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you find the greatest common factor of two numbers?
2. Can you factor more complex polynomials using a similar method?
3. What are the steps to factor a quadratic expression?
4. How does factoring help in solving equations?
5. Can factoring be used in real-world applications?

**Tip:** Always start by looking for the greatest common factor when factoring polynomials—it simplifies the process!

Factor the expression completely: 27x + 72

Learn how to factor the expression 27x + 72 by finding the greatest common factor. This problem focuses on core algebraic concepts, such as factoring and GCF, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation