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Factorize completely 4x^3 - 8x^2y - 9xy^2 + 18y^3​

Factorize completely 4x^3 - 8x^2y - 9xy^2 + 18y^3​
asked 123k views
5 votes
Factorize completely 4x^3 - 8x^2y - 9xy^2 + 18y^3​

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User Dblood
by
8.2k points

1 Answer

6 votes

Simplifying

4x2 + 8xy + 4y2

Reorder the terms:

8xy + 4x2 + 4y2

Factor out the Greatest Common Factor (GCF), '4'.

4(2xy + x2 + y2)

Factor a trinomial.

4((x + y)(x + y))

Final result:

4(x + y)(x + y)

answered
User Sanjaya Liyanage
by
8.5k points
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