Question

Помогите пожалуйста

Answer 1

Ответ:

В решении.

Пошаговое объяснение:

1) 1/m - 1/3m = (3-1)/3m=2/3m;

2) 2/y - 1/y² = (2y-1)/y²;

3) 1/n - 1/(n-1) = (n-1-n)/n(n-1) = -1/n(n-1);

4) 2/(a-5)(a-2) + 1/(a-5) = (2+a-2)/(a-5)(a-2) = a/(a-5)(a-2);

5) (x-4)/(x+4) + 16x/(x²-16) = [(x-4)(x-4)+16x]/(x²-16) =

=[(x-4)²+16x]/(x²-16) = (x²-8x+16+16x)/(x²-16) = (x²+8x+16)/(x²-16) =

=(x+4)²/(x²-16) = (x+4)(x+4)/(x-4)(x+4) = (x+4)/(x-4);

6) (2y-1)/(y+4) + (8-6y-2y²)/(y²+8y+16) =

= (2y-1)/(y+4) + (8-6y-2y²)/(y+4)² =

= [(y+4)*(2y-1) + (8-6y-2y²)]/(y+4)² =

= (2y²-y+8y-4+8-6y-2y²)/(y+4)² =

= (y+4)/(y+4)² =

= 1/(y+4).