xy
I do the coefficients first. The GCF of 10 and 15 is 5. I tackle the variables next. The GCF of x2y and x3y2 is x2y I put it all together. The GCF of 15x2y and 10x3y2 is 5x2y.
The GCF of 27 x^2 y^3 and 46 x^2 y is xy^2. 27 and 46 are coprime.
3 * 3 * 5 * x * y * y = 45xy2
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.
If that's x2y and xy2, the GCF is xy.
xy
Whooop!
(x4 + y4)/(x + y) = Quotient = x3 - x2y + xy2 - y3 Remainder = - 2y4/(x+y) So, x3 - x2y + xy2 - y3 - 2y4/(x+y)
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.
I do the coefficients first. The GCF of 10 and 15 is 5. I tackle the variables next. The GCF of x2y and x3y2 is x2y I put it all together. The GCF of 15x2y and 10x3y2 is 5x2y.
The GCF is 2xy.
The GCF of 27 x^2 y^3 and 46 x^2 y is xy^2. 27 and 46 are coprime.
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
It is -2y + x2y - 8, which is an expression that cannot be simplified further, not can it be evaluated.
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 !