What is the Completely Factored Form of xy3 – x3y?
1) xy(y + x)(y – x) 2) xy(y – x)(y – x)
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.
Answer: The completely factored form of xy3 – x3y is xy (y + x) (y - x).
Let's solve this step by step.
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).