Let's first distribute the terms in each set of parentheses:
(5x-1)(x+2) = 5x^2 + 10x - x - 2 = 5x^2 + 9x - 2
(x-1)(2-5x) = 2x - 5x^2 - 2 + 5x = -5x^2 + 7x - 2
Now we add the results of the two multiplications together:
(5x^2 + 9x - 2) + (-5x^2 + 7x - 2) = 5x^2 - 5x^2 + 9x + 7x - 2 - 2 = 16x - 4
So, the simplified form of (5x-1)(x+2) + (x-1)(2-5x) is 16x - 4.
Let's first distribute the terms in each set of parentheses:
(5x-1)(x+2) = 5x^2 + 10x - x - 2 = 5x^2 + 9x - 2
(x-1)(2-5x) = 2x - 5x^2 - 2 + 5x = -5x^2 + 7x - 2
Now we add the results of the two multiplications together:
(5x^2 + 9x - 2) + (-5x^2 + 7x - 2) = 5x^2 - 5x^2 + 9x + 7x - 2 - 2 = 16x - 4
So, the simplified form of (5x-1)(x+2) + (x-1)(2-5x) is 16x - 4.