Объяснение:
√121=11; √144=12; √9/4=3/2
А теперь умножаем 11/12*3/2=33/24
и так далее
(x-y / 2x)^2 * (4x / x-y +4x / y) = (x-y)^2 / 4x^2 * (4xy+4x^2-4xy) / y(x-y) =
= (x-y)^2 * 4x^2 / 4x^2 * y(x-y) = (x-y) / y
б) (x - 5x-16 / x-3) / (3x - 3x / 3\x-3) = (x^2-3x-5x+16) / x-3 / (3x^2-9x-3x) / x-3 = (x^2-8x+16) / x-3 / (3x^2-12x) / x-3 = (x-4)^2 * (x-3) / (x-3) * 3x(x-4) = x-4 / 3x
а) (9y / x - 9y / x+y) * (x+y / 3y)^2 = 9xy =9y^2-9xy / x(x+y) * (x+y)^2 / 9y^2 = x+y / x
(4x - 12x/x-2) / (x - 8x-25/x-2) = (4x^2-8x-12x / x-2) / (x^2-2x-8x+25) / x-2 = (4x^2-20x / x-2) / (x^2-10x+25) / x-2 = (4x(x-5) / x-2) / (x-5)^2 / x-2 = (4x(x-5)*(x-2)) / (x-2)*(x-5)^2 = 4x / x-5
Объяснение:
√121=11; √144=12; √9/4=3/2
А теперь умножаем 11/12*3/2=33/24
и так далее
(x-y / 2x)^2 * (4x / x-y +4x / y) = (x-y)^2 / 4x^2 * (4xy+4x^2-4xy) / y(x-y) =
= (x-y)^2 * 4x^2 / 4x^2 * y(x-y) = (x-y) / y
б) (x - 5x-16 / x-3) / (3x - 3x / 3\x-3) = (x^2-3x-5x+16) / x-3 / (3x^2-9x-3x) / x-3 = (x^2-8x+16) / x-3 / (3x^2-12x) / x-3 = (x-4)^2 * (x-3) / (x-3) * 3x(x-4) = x-4 / 3x
а) (9y / x - 9y / x+y) * (x+y / 3y)^2 = 9xy =9y^2-9xy / x(x+y) * (x+y)^2 / 9y^2 = x+y / x
(4x - 12x/x-2) / (x - 8x-25/x-2) = (4x^2-8x-12x / x-2) / (x^2-2x-8x+25) / x-2 = (4x^2-20x / x-2) / (x^2-10x+25) / x-2 = (4x(x-5) / x-2) / (x-5)^2 / x-2 = (4x(x-5)*(x-2)) / (x-2)*(x-5)^2 = 4x / x-5