We appreciate your visit to Factor the expression completely tex 60x 3 50x 5 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]$$60x^3 + 50x^5,$$[/tex]
we begin by identifying the greatest common factor (GCF) of the two terms.
1. Identify the numerical GCF:
The numerical coefficients are 60 and 50. The greatest common divisor (GCD) of 60 and 50 is 10.
2. Identify the common variable factor:
The variable parts are [tex]$x^3$[/tex] and [tex]$x^5$[/tex]. The smallest power of [tex]$x$[/tex] that appears in both terms is [tex]$x^3$[/tex]. Hence, the common factor in terms of [tex]$x$[/tex] is [tex]$x^3$[/tex].
3. Factor out the common factor:
Write each term as a product including the common factor [tex]$10x^3$[/tex]:
[tex]\[
60x^3 = 10x^3 \cdot 6 \quad \text{and} \quad 50x^5 = 10x^3 \cdot 5x^2.
\][/tex]
Therefore, the expression can be written as:
[tex]\[
60x^3 + 50x^5 = 10x^3(6 + 5x^2).
\][/tex]
4. Final factored form:
The completely factored form of the expression is:
[tex]\[
\boxed{10x^3(6+5x^2)}.
\][/tex]
This is the final answer.
[tex]$$60x^3 + 50x^5,$$[/tex]
we begin by identifying the greatest common factor (GCF) of the two terms.
1. Identify the numerical GCF:
The numerical coefficients are 60 and 50. The greatest common divisor (GCD) of 60 and 50 is 10.
2. Identify the common variable factor:
The variable parts are [tex]$x^3$[/tex] and [tex]$x^5$[/tex]. The smallest power of [tex]$x$[/tex] that appears in both terms is [tex]$x^3$[/tex]. Hence, the common factor in terms of [tex]$x$[/tex] is [tex]$x^3$[/tex].
3. Factor out the common factor:
Write each term as a product including the common factor [tex]$10x^3$[/tex]:
[tex]\[
60x^3 = 10x^3 \cdot 6 \quad \text{and} \quad 50x^5 = 10x^3 \cdot 5x^2.
\][/tex]
Therefore, the expression can be written as:
[tex]\[
60x^3 + 50x^5 = 10x^3(6 + 5x^2).
\][/tex]
4. Final factored form:
The completely factored form of the expression is:
[tex]\[
\boxed{10x^3(6+5x^2)}.
\][/tex]
This is the final answer.
Thanks for taking the time to read Factor the expression completely tex 60x 3 50x 5 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
