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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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).
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