Respuesta :

3x2y(3x2−2xy+y2)

p.s. my keyboard doesn't have the sign for the exponents but, you know what I mean.

For this case we must factor the following expression:

[tex]6x ^ 4 * y ^ 3-3x ^ 3 * y ^ 5[/tex]

We have two terms in the expression and it is observed that the largest whole number that divides both is 3, then:

[tex]3 (2x ^ 4 * y ^ 3-x ^ 3 * y ^ 5)[/tex]

Now we can see that we can extract common factor y ^ 3:

[tex]3y ^ 3 (2x ^ 4-x ^ 3 * y ^ 2)[/tex]

Finally, we extract common factor x ^ 3:

[tex]3y ^ 3x ^ 3 (2x-y ^ 2)[/tex]

ANswer:

[tex]3y ^ 3x ^ 3 (2x-y ^ 2)[/tex]

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