Factor out the GCF?

Question

15x^2y^2 - 9xy^2 + 6x^2 y

Answer 1

15x^2y^2 - 9xy^2 + 6x^2 y
= 3xy (5xy - 3y + 2x)

Therefore, the GCF is 3xy.

Answer 2

Break down all the numbers and letters into exponent form.

The GCF is the smallest exponent of each number and variable.

15 = 3^1 * 5^1
9 = 3^2
6 = 2^1 * 3^1

Of the numbers, smallest of each number is: 2^0 * 3^1 * 5^0 = 3

Of the variables, the smallest of each is: x^1 * y^1

Final solution of GCF: 3xy

Answer 3

= 3xy.(5xy - 3y + 2x)
GCF = 3xy