Question

What is the completely factored form of xy3 – x3y? (The 3's are powers if it wasn't clear.)

Answer 1

The correct answer would be xy(y-x)(y+x)

Answer 2

Answer:

Option A is correct

$xy(y-x)(y+x)$

Step-by-step explanation:

GCF(Greatest Common Factor) defined as the largest number that divide the two numbers

Given the equation:

$xy^3-x^3y$

To find the completely factored form of the given equation.

GCF of $x^3y$ and $xy^3$ is, $xy$

then;

$xy \cdot y^2 - xy \cdot x^2$

Using distributive property: $a \cdot (b+c) = a\cdot b+ a\cdot c$

$xy(y^2-x^2)$

Using the identity rule:

$(a^2-b^2) =(a-b)(a+b)$

then;

$xy(y-x)(y+x)$

Therefore, the completely factored form of the given equation is, $xy(y-x)(y+x)$