The factoring is as follows: x2 - y2 = (x + y) * (x - y)
(2x - 3y)(x + y)
(x2 - xy + y2)(x + y)
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.
Oh, what a happy little question! To factor out xy from xy, you simply take out the common factor, which is xy itself. So, the factored form of xy is just xy. Isn't that just lovely? Just remember, there are no mistakes in math, only happy little accidents.
x(y - 1)(y + 1)
The GCF is xy
x2y + axy + abx + a2b Factor by grouping. xy(x + a) + ab(x + a) (xy + ab)(x + a)
Divide by 'x'; x2+xy/x = x(x+y)
0
4
-16
The only common factor to all terms is yz. → xy³z² + y²z + xyz = yz(xy²z + y + x)
Oh, what a happy little question! To factor out xy from xy, you simply take out the common factor, which is xy itself. So, the factored form of xy is just xy. Isn't that just lovely? Just remember, there are no mistakes in math, only happy little accidents.
It is then x/y when simplified
(x-y) + (xy - 1) = (x - 1)(y + 1)
Factor by grouping. x2y - xyb - abx + ab2 The first two can factor out an xy, so xy(x - b) The second two can factor out a -ab, so -ab(x - b) and we have xy(x - b) - ab(x - b) Since what is inside the parentheses is alike, we can be assured that we have factored correctly and now continue to group: ANS: (x - b)(xy - ab)