1
1)a-(4a-9)/(a-2)=(a²-2a-4a+9)/(a-2)=(a²-6a+9)/(a-2)=(a-3)²/(a-2)
2)2a-2a/(a-2)=2a(a-2-1)/(a-2)=2a(a-3)/(a-2)
3)(a-3)²/(a-2)*(a-2)/[2a(a-3)]=(a-3)/2a
2
1)(a-2b)/[a(a+2b)]-(a+2b)/[a(a-2b)]=(a²-4ab+4b²-a²-4ab-4b²)/[a(a²-4b²)]=
=-8ab/[a(a²-4b²)]=8b/(4b²-a²)
3)8b/(4b²-a²)*4b²/(4b²-a²)=32b³/(4b²-a²)²
3
1)x/[3(x-3)]+3/[x(x+3)]-(x²+9)/[3(x-3)(x+3)]=
=(x³+3x²+9x-27-x³-9x)/[3x(x²-9)]=(3x²-27)/[3x(x²-9)]=3(x²-9)/[3x(x²-9)]=
=1/x
2)(x-3)/[4(x+3)²]*x=x(x-3)/[4(x+3)²