We appreciate your visit to Factor the expression completely tex 40 28x 3 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To factor the expression [tex]\(-40 + 28x^3\)[/tex] completely, follow these steps:
1. Identify the greatest common factor (GCF):
Look for the largest number that divides both terms of the expression evenly. Here, the coefficients of the terms are [tex]\(-40\)[/tex] and [tex]\(28\)[/tex]. The greatest common factor of 40 and 28 is 4.
2. Factor out the GCF:
Divide each term by the GCF and factor it out of the expression:
[tex]\[
-40 + 28x^3 = 4(-10) + 4(7x^3)
\][/tex]
So, the expression becomes:
[tex]\[
4(-10 + 7x^3)
\][/tex]
3. Check the remaining expression for further factorization:
Now, look at [tex]\(-10 + 7x^3\)[/tex] to see if it can be factored further. In this case, it cannot be factored any further using simple methods as it doesn’t have any common factors or recognizable patterns such as difference of squares or cubes, or trinomial squares.
Thus, the fully factored expression is:
[tex]\[
4(7x^3 - 10)
\][/tex]
1. Identify the greatest common factor (GCF):
Look for the largest number that divides both terms of the expression evenly. Here, the coefficients of the terms are [tex]\(-40\)[/tex] and [tex]\(28\)[/tex]. The greatest common factor of 40 and 28 is 4.
2. Factor out the GCF:
Divide each term by the GCF and factor it out of the expression:
[tex]\[
-40 + 28x^3 = 4(-10) + 4(7x^3)
\][/tex]
So, the expression becomes:
[tex]\[
4(-10 + 7x^3)
\][/tex]
3. Check the remaining expression for further factorization:
Now, look at [tex]\(-10 + 7x^3\)[/tex] to see if it can be factored further. In this case, it cannot be factored any further using simple methods as it doesn’t have any common factors or recognizable patterns such as difference of squares or cubes, or trinomial squares.
Thus, the fully factored expression is:
[tex]\[
4(7x^3 - 10)
\][/tex]
Thanks for taking the time to read Factor the expression completely tex 40 28x 3 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
