ЯсноПонятно24

Для упрощения данного выражения сначала разложим скобки:

((x+3)²-(x+2)²-x-5)/(x(x+2)+4 + x²+8)/(x³-8 - 1)/(x-2) * (x²/(x²-4) - 2/(2-x))

((x² + 6x + 9) - (x² + 4x + 4) - x - 5)/(x² + 2x + 4 + x² + 8)/(x³ - 8 - 1)/(x - 2) * (x²/(x² - 4) - 2/(2 - x))

(6x + 9 - 4x - 4 - x - 5)/(2x² + 2x + 12)/(x³ - 9)/(x - 2) * (x²/(x² - 4) - 2/(2 - x))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * (x²/(x² - 4) - 2/(2 - x))

Теперь упростим выражение:

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * (x²/(x² - 4) - 2/(2 - x))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * (x²/(x - 2)(x + 2) - 2/(2 - x))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * ((x - 2)(x + 2)/(x - 2)(x + 2) - 2(x + 2)/(2 - x)(x + 2))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * ((x² - 4 - 2x - 4)/(x - 2)(x + 2))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * ((x² - 2x - 8)/(x - 2)(x + 2))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * ((x(x - 2) - 4(x - 2))/(x - 2)(x + 2))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * ((x - 4)(x - 2)/(x - 2)(x + 2))

(x - 1)/(2(x² + x + 6))/(x - 3)(x² + 3x + 9)/(x - 2) * (x - 4)/(x + 2)

Таким образом, упрощенное выражение равно:

(x - 1)(x - 4)/(2(x² + x + 6)(x - 3)(x² + 3x + 9)(x + 2))