Ответ:

Объяснение:

y +3y/(y-3)=(y(y-3)+3y)/(y-3)=(y²-3y+3y)/(y-3)=y²/(y-3)

2/(x-5) +(x+5)/(5x)=(10x+(x+5)(x-5))/(5x(x-5))=(10x+x²-25)/(5x²-25x)=(x²+10x-25)/(5x²-25x)

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

(2p-q)/(p²+qp) +(p-2q)/(pq+q²)=(2p-q)/(p(p+q)) +(p-2q)/(q(p+q))=(q(2p-q)+p(p-2q))/(pq(p+q))=(2pq-q²+p²-2pq)/(pq(p+q))=(p²-q²)/(pq(p+q))=(p-q)(p+q)/(pq(p+q))=(p-q)/(pq)

(x-2)/(x²-9) -3/(3x-x²)=(x-2)/((x-3)(x+3)) -3/(x(3-x))=(x(x-2)+3(x+3))/(x(x-3)(x+3))=(x²-2x+3x+9)/(x(x²-9))=(x²+x+9)/(x³-9x)

1/(x-2) -6x/(x³-8)=1/(x-2) -6x/((x-2)(x²+2x+4))=(x²+2x+4-6x)/((x-2)(x²+2x+4))=(x²-4x+4)/((x-2)(x²+2x+4))=(x-2)²/((x-2)(x²+2x+4))=(x-2)/(x²+2x+4)

3/x +21/(x²-7x) -(4-x)/(x-7)=3/x +21/(x(x-7)) -(4-x)/(x-7)=(3(x-7)+21-x(4-x))/(x(x-7))=(3x-21+21-4x+x²)/(x(x-7))=(x²-x)/(x(x-7))=x(x-1)/(x(x-7))=(x-1)/(x-7)