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What is the factored form of [tex]5x - 625x^4[/tex]?

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!

Rewritten by : Jeany

Answer:

I think it's 5


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