Select one of the factors of x²y³ - 11x²y + 6y² - 66.
(x²y + 6), (x²y - 6), (y² + 11), (y - 3)

Solution:

The factors of the equation x²y³ - 11x²y + 6y² - 66 can be found by taking out the common terms.

x²y³ - 11x²y + 6y² - 66

Let us take out the common from the first two terms.

⇒ x²y(y² - 11)------>(1)

Take out common from the last two terms.

⇒ + 6 (y² - 11)------>(2)

By combining these two, we get

x²y(y² - 11) + 6(y² - 11)

⇒ (x²y + 6)(y² - 11)

Select one of the factors of x²y³ - 11x²y + 6y² - 66.

Summary:

The selected factors of the equation are (x²y + 6)(y² - 11).