To find the greatest common factor of x^2y and xy^2, we need to determine the highest power of each variable that is common to both terms. In this case, the common factors are x and y. The highest power of x that is common to both terms is x^1, and the highest power of y that is common to both terms is y^1. Therefore, the greatest common factor of x^2y and xy^2 is xy.
xy
The GCF is xy
The greatest common factor of 12xy2 + 6x is 6x. The greatest common factor of 12 and 6 is 6, and the greatest common factor of xy2 and x is x. If you took 6x out of both factors, the end result would be 2y2+1
3 * 3 * 5 * x * y * y = 45xy2
xy
The GCF is xy
5x3y4 + 8xy2 = xy2(5x2y2 + 8)
The greatest common factor of 12xy2 + 6x is 6x. The greatest common factor of 12 and 6 is 6, and the greatest common factor of xy2 and x is x. If you took 6x out of both factors, the end result would be 2y2+1
Whooop!
(x4 + y4)/(x + y) = Quotient = x3 - x2y + xy2 - y3 Remainder = - 2y4/(x+y) So, x3 - x2y + xy2 - y3 - 2y4/(x+y)
The GCF is 2xy.
If that's x2y and xy2, the GCF is xy.
They are terms in which a variable is raised to the same power (index) in both terms. So x2y and -27x2y are like terms but not xy2.
If you mean prime factors they are:42x3y2 = 2*3*7*x3y2All of the factors of it are:1, 2, 3, 6, 7, 21, 42,and any of those numbers multiplied by either x, x2, x3, y, y2, xy, xy2, x2y, x2y2, x3y, or x3y2.
xy2
15x2y2-9xy3 As x2y2 = x xy2 and xy3 = xy2 y then xy2 is in both term you can first factorize 15x2y2-9xy3 = xy2(15x-9y) as 15=3x5 and 9=3x3 15x2y2-9xy3 = 3xy2(5x-3y) and that it !