Respuesta :
Answer:
[tex]6xy{2} \sqrt{5x}[/tex]
Step-by-step explanation:
The answer to simplifying the algebra expression completely, where x > 0 is;
6xy²√(5x)
Algebra Simplification
We want to simplify the expression given as;
x√(5xy⁴) + √(405x³y⁴) - √(80x³y⁴)
This can be simplified as;
x√(5xy⁴) + √(81 * 5 * x³y⁴) - √(16 * 5 * x³y⁴)
⇒ x√(5xy⁴) + 9x√(5xy⁴) - 4x√(5xy⁴)
⇒ xy²√(5x) + 9xy²√(5x) - 4xy²√(5x)
⇒ (xy² + 9xy² - 4xy²)√(5x)
⇒ 6xy²√(5x)
Read more about Algebra Simplification at; https://brainly.com/question/723406
