Algebra factor problem

Question

Factor: 27𝑥2𝑦5−72𝑥3𝑦2

Answer 1

As for this question, you will find that the smaller exponent of x is 2 and the smaller exponent of y is 2. Therefore, you need to extract a x^2 and y^2 to the front, the equation becomes x^2y^2(27y^3-72x).

Then look at the numbers 27 and 72, you'll see see that they can both divided by 9. So 9 will be the number you want to extract. The final answer would be 9x^2y^2(3y^3-8x).