Question

Решить примеры по действиям

Answer 1

1) (a+2)/(2a-8) * 96/ (a² + 2a) = (a+2)/2(a-4) * 96/ a(a+2) =
= [96(a+2)] / [ 2a(a-4)(a+2)] = 48/[a(a-4)]

3a/(a-4) - 48/[a(a-4)] = (3a² -48) / [a(a-4)] = 3(a² - 16) / [a(a-4)] =
= 3(a+4) / a = (3a + 12)/ a
2) 8x/(x - 2) + 2x = (8x + 2x² - 4x)/(x-2) = (2x² + 4x)/(x-2)= 2x(x+4)/(x-2)

2x(x+4)/(x-2) : (3x+6)/(6x-12) = 2x(x+4)/(x-2) * 6(x-2)/3(x+2) =
= 4x(x+4)/(x+2)
3) (a-2)/(a+2) - (a+2)/(a-2) = (a² - 4a + 4 - a² - 4a - 4)/ (a² - 4) =
= - 8a/(a²-4)

- 8a/(a² - 4) : 12a²/(4 - a²) = 8a (a²-4) / 12a²(a²-4) = 2/3a