No.
x3+xy-x2y2=x(x2+y-xy2)
If that's x2y and xy2, the GCF is xy.
-5xy2 + 12xy2 = (-5 + 12)xy2 = 7xy2
No, (2xy) and (3yx) are actually like terms. In algebra, like terms are terms that have the same variable factors raised to the same powers. Since (yx) is equivalent to (xy), both terms can be combined or simplified together, resulting in (5xy).
The expression (4xy - 3xy + 2xy) consists of three terms: (4xy), (-3xy), and (2xy). Each term is a product of the coefficient (a number) and the variable part, which in this case is (xy). The coefficients are 4, -3, and 2, respectively. To combine the like terms, you would simplify the expression to ( (4 - 3 + 2)xy = 3xy).
The GCF is xy
xy
If you mean: xy2/xy then it can be simplified to y
xy
x3+xy-x2y2=x(x2+y-xy2)
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.
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.
-5xy2 + 12xy2 = (-5 + 12)xy2 = 7xy2
4
-1
xy2