1)(x-2)/(x²+2x+4) -6x((x-2)(x²+2x+4) +1/(x-2)=(x²-4x+4-6x+x²+2x+4)/(x³-8)==(2x²-8x+8)/(x³-8)==2(x²-4x+4)/(x³-8)=2(x-2)²/(x-2)(x²+2x+4)=2(x-2)/9x²+2x+4)2)(2a²+7a+3)/(a-1)(a²+a+1) -(1-2a)/(a²+a-1) -3/(a-1)==(2a²+7a+3-a+2a²+1-2a-3a²-3a-3)/(a-1)(a²+a+1) =(a²+a+1)/(a-1)(a²+a+1) =1/(a-1)1)1/(a-4b) -1/(a+4b) +2a/(a-4b)(a+4b)=(a+4b-a+4b+2a)/(a-4b)(a+4b)==(2a+8b)/(a-4b)(a+4b)==2(a+4b)/(a-4b)(a+4b)=2/(a-4b)2)1/2(b-a) +1/b(b+a) -a²/b(b-a)(b+a)=(b²+ba+b²-ba-2a²)/b(b-a)(b+a)==(2b²-2a²)/b(b²-a²)=2(b²-a²)/b(b²-a²)=2/b