• Упростите выражения 1) y^2-3y/25-y^2 - 7y-25/ 25-y^2 2) 9p+5/3p+6 - 10p-12/ 3p+6 + 9p-1/ 3p+6 3) 7x+5/3-x + 5x+11/ x-3

Ответы 1

  • 1) (y² - 3 * y)/(25 - y²) – (7 * y – 25)/(25 - y²) = (y² - 3 * y – (7 * y – 25))/(25 - y²) = (y² - 3 * y – 7 * y + 25)/(25 - y²) = (y² - 10 * y + 25)/(25 - y²) = (y – 5)²/((5 – y) * (5 + y)) = - (y – 5)²/((y – 5) * (5 + y)) = (5 – y)/(5 + y).

    2) (9 * p + 5)/(3 * p + 6) – (10 * p – 12)/(3 * p + 6) + (9 * p – 1)/(3 * p + 6) = (9 * p + 5 – (10 * p – 12) + 9 * p – 1)/(3 * p + 6) = (9 * p + 5 – 10 * p + 12 + 9 * p – 1)/(3 * p + 6) = (8 * p + 16)/(3 * p + 6) = (8 * (p + 2))/(3 * (p + 2)) = 8/3 = 2 2/3.

    3) (7 * x + 5)/(3 – x) + (5 * x + 11)/(x – 3) = (7 * x + 5)/(3 – x) - (5 * x + 11)/(3 – x) = (7 * x + 5 – (5 * x + 11))/(3 – x) = (7 * x + 5 – 5 * x – 11)/(3 – x) = (2 * x – 6)/(3 – x) = - 2 * (3 – x)/(3 – x) = - 2.

    • Автор:

      ray
    • 4 года назад
    • 0
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