Question

Multiply the following polynomials, as indicated.
(3x² + y) (x² - 6y)

Answer 1

To multiply the given polynomials, we can use the distributive property. Simplifying the terms, we get 3x^4 - 18x²y + xy - 6y².

Step-by-step explanation:

To multiply the given polynomials (3x² + y) and (x² - 6y), we can use the distributive property. We multiply each term of the first polynomial by each term of the second polynomial and then combine like terms.

Using the distributive property, we get:

(3x² + y) (x² - 6y) = 3x²(x²) + 3x²(-6y) + y(x²) + y(-6y)

Simplifying further, we get:

3x^4 - 18x²y + xy - 6y².

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