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Alex_Xolod [135]
3 years ago
7

Which is the completely factored from of xy^3-x^3y

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer:

xy(y+x)(y-x)

Step-by-step explanation:

To factor the expression, remove the greatest common factor or GCF from each term. Both terms share in common xy. The expression becomes:

xy^3-x^3y\\xy(y^2-x^2)

What remains in the parenthesis is a different of perfect squares. Factor the difference of perfect squares into two binomials of the form (x+a)(x-a) where a is the square root of (x^2-a^2).

So the expression becomes:

xy(y^2-x^2)\\xy(y+x)(y-x)

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