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On of the polynomial below?12x2y373-8x2y372 +20xv3-3

1 Answer

5 votes

Given data

The polynomial is,


12x^2y^3z^3-8x^2y^3z^2+20xy^3z^3

Subject: fFnd the factorization of the polynomial.

The factorization of the polynomial,

Take 4 common from the polynomial.


=4(3x^2y^3z^3-2x^2y^3z^2+5xy^3z^3)

Now take y^3 common,


4y^3(3x^2z^3-2x^2z^2+5xz^3)

Now take x common,


=4xy^3(3xz^3-2xz^2+5z^3)

Now take z^2 common.


4xy^3z^2(3xz-2x-5z)

Hence the correct option is D.

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