What is the Completely Factored Form of xy³ - x³y?
1) xy(y + x)(y - x)     2) xy(y - x)(y - x).

Solution:

Factorizing a polynomial refers to writing the polynomial as a product of its factors. We will be solving the given equation to answer this question

Factored form of a polynomial can be obtained by various methods. Here, we will take out the common factors first.

Given the polynomial xy³ - x³y

xy³ - x³y = xy(y² - x²)

Now, use the algebraic identity a² - b² = (a - b)(a + b)

xy(y² - x²) = xy (y + x) (y - x)

Hence, the completely factored form of xy³ - x³y is xy (y + x) (y - x).

What is the Completely Factored Form of xy³ - x³y?

Summary:

The completely factored form of xy³ - x³y is xy (y + x) (y - x).