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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