Question

3(х – 2у) – 0,5(2х + 3у)

Answer 1

$3(x - 2y) - 0.5(2x + 3y) = \\ 3x - 6y - x - 1.5y = \\ 3x - x - 6y - 1.5y = \\ 2x - 7.5y$

Answer 2

To simplify the expression 3(x - 2y) - 0.5(2x + 3y), we can apply the distributive property and combine like terms:

3(x - 2y) - 0.5(2x + 3y) = 3x - 6y - 1(2x + 3y) (distributive property) = 3x - 6y - 2x - 3y (multiplication) = (3x - 2x) + (-6y - 3y) (grouping like terms) = x - 9y (simplifying further)

Therefore, the simplified form of the expression 3(x - 2y) - 0.5(2x + 3y) is x - 9y.