Respuesta :
Answer:
[tex]xy(x^{2} -6y)(x+8)[/tex]
Step-by-step explanation:
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The factorization of the polynomial x⁴y + 8x³y - 6x²y² - 48xy² gives (xy)(x² - 6y)(x + 8)
What is a polynomial?
A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Given the polynomial:
x⁴y + 8x³y - 6x²y² - 48xy²
Factorizing:
= xy(x³ + 8x² - 6xy - 48y)
= xy[x²(x + 8) - 6y(x + 8)]
= (xy)(x² - 6y)(x + 8)
The factorization of the polynomial x⁴y + 8x³y - 6x²y² - 48xy² gives (xy)(x² - 6y)(x + 8)
Find out more on polynomial at: https://brainly.com/question/2833285
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