Answer:
Explanation:
1. L.C.M of ab(a-b) and a(a-b):
To find the L.C.M of these expressions, we need to consider their common factors and the highest powers of those factors. In this case, the common factor is (a-b) and it appears in both expressions. Therefore, the L.C.M of ab(a-b) and a(a-b) is simply (a-b).
2. L.C.M of 3x(x+y) and 6y(x-y):
To find the L.C.M, we need to consider each factor in both expressions and their highest powers. The factors in the expressions are 3, x, (x+y), 6, y, and (x-y). Taking each factor with its highest power, we get the L.C.M as 3x(x+y)(x-y)(6y).
3. L.C.M of x²y(x+y) and xy²(x-y):
Again, we consider each factor in both expressions and their highest powers. The factors in the expressions are x², y, (x+y), x, y², and (x-y). Taking each factor with its highest power, the L.C.M is x²y(x+y)(x-y)y².
In summary:
1. L.C.M of ab(a-b) and a(a-b): (a-b)
2. L.C.M of 3x(x+y) and 6y(x-y): 3x(x+y)(x-y)(6y)
3. L.C.M of x²y(x+y) and xy²(x-y): x²y(x+y)(x-y)y²