Answer:
-xy2 + 4x2 - 6xy(x - y)
Explanation:
To simplify the given expression (3xy^2 - 2y + 5x^2) - (6x^2y + x^2 - 4xy^2), we need to combine like terms and perform the necessary operations.
First, let's distribute the negative sign to the terms inside the second parentheses:
(3xy^2 - 2y + 5x^2) - 6x^2y - x^2 + 4xy^2
Now, let's combine like terms. We have three terms with xy^2, two terms with x^2, and two terms with y:
3xy^2 - 4xy^2 = (3 - 4)xy^2 = -xy^2
5x^2 - x^2 = (5 - 1)x^2 = 4x^2
-6x^2y + 4xy^2 = -(6x^2y - 4xy^2) = -(6xy(x - y))
Combining all the simplified terms, we get:
-xy^2 + 4x^2 - (6xy(x - y))