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Factorization of Multivariable Polynomials

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Factor out the greatest common factor from the expression
9x^4y^4+7x^6y^3-12x^4y^3

Factor out the greatest common factor from the expression
1ox^2yz^3-6x^2y^2z-4xy^3z^2

Completely factor the expression
5x^2y + 30xy^2 + 45y^3

Completely factor the expression
18x^2-32y^2

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Solution Summary

We factor out the greatest common factor from four given multivariable polynomials.

Solution Preview

The greatest common factor of the terms in the expression 9 x^4 y^4 + 7 x^6 y^3 - 12 x^4 y^3 is x^4 y^3, whence this expression factors as

9 x^4 y^4 + 7 x^6 y^3 - 12 x^4 y^3
= x^4 y^3 (9 y + 7 x^2 - ...

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