Thank you for visiting What is the factored form of tex 5x 625x 4 tex. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The factored form of [tex]\(5x - 625x^4\) is \(5x(1 - 5x)(1 + 5x + 25x^2)\).[/tex]
To find the factored form of [tex]\(5x - 625x^4\),[/tex] we can first factor out the greatest common factor (GCF) from both terms. In this case, the GCF is [tex]\(5x\).[/tex]
So, we can rewrite the expression as:
[tex]\[5x(1 - 125x^3)\][/tex]
Now, we have a difference of cubes in the parentheses. We can factor this using the formula [tex]\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\)[/tex], where [tex]\(a = 1\)[/tex] and [tex]\(b = 5x\):[/tex]
[tex]\[1^3 - (5x)^3 = (1 - 5x)(1^2 + 1(5x) + (5x)^2)\][/tex]
[tex]\[= (1 - 5x)(1 + 5x + 25x^2)\][/tex]
So, the factored form of [tex]\(5x - 625x^4\) is \(5x(1 - 5x)(1 + 5x + 25x^2)\).[/tex]
Thank you for reading the article What is the factored form of tex 5x 625x 4 tex. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany