Question

Factor 6x^4y^3-3x^3y^5

Answer 1

3x2y(3x2−2xy+y2)

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

Answer 2

For this case we must factor the following expression:

`6x ^ 4 * y ^ 3-3x ^ 3 * y ^ 5`

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

`3 (2x ^ 4 * y ^ 3-x ^ 3 * y ^ 5)`

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

`3y ^ 3 (2x ^ 4-x ^ 3 * y ^ 2)`

Finally, we extract common factor x ^ 3:

`3y ^ 3x ^ 3 (2x-y ^ 2)`

ANswer:

`3y ^ 3x ^ 3 (2x-y ^ 2)`