-y^3(2x^2y-4xy^2)=-2x^2y^4+4xy^6
*is this correct.?
No, in the last term, the y should be to the fifth power (3+2)
To verify if the equation is correct, we can simplify both sides of the equation and see if they are equal.
Given equation: -y^3(2x^2y - 4xy^2) = -2x^2y^4 + 4xy^6
First, let's simplify the left side of the equation:
-y^3(2x^2y - 4xy^2) =
-2x^2y^4 + 4xy^6
Simplifying the left side:
Distribute the -y^3 to each term inside the parentheses:
-2x^2y^4 + 4xy^6
Now, let's compare the left side and right side of the equation:
Left side: -2x^2y^4 + 4xy^6
Right side: -2x^2y^4 + 4xy^6
Since the left side and right side are identical, the equation is correct.