Odpowiedź:
(x - 2)/x * 3x²/(2x - 4) = (x - 2) * 3x/[2(x - 2)] = 3/2x
x³/(3 - x) * (3x - 9)/x = x²/(3 - x) * [-3(-x + 3)] = -3x²
x/(x - 4) : 3/(2x - 8) = x/(x - 4) * 2(x - 4)/3 = 2/3x
20x/(3x - 1) : 5/(2 - 6x) = 20x/(3x - 1) * (2 - 6x)/5 = 4x/(3x - 1) * [-2(3x - 1)] =
= 4x * (-2) = -8x
x/(x - 4) - x/(4 + x) = [x(4 + x) - x(x - 4)]/(x² - 16) = (4x + x² - x² + 4x)/(x² - 16) =
= 8x/(x² - 16)
Szczegółowe wyjaśnienie:
