1
(2a²-5a+2)/(ab-2b-3a+6)=(2a-1)(a-2)/[(a-2)(b-3)]=(2a-1)/(b-3)
2a²-5a+2=0
D=25-16=9
x1=(5-3)/4=1/2 U x2=(5+3)/4=2
ab-2b-3a+6=b(a-2)-3(a-2)=(a-2)(b-3)
2
1)3/(2x-y)-2/(2x+y)-1/(2x-5y)=
=[3(2x+y)(2x-5y)-2(2x-y)(2x-5y)-(4x²-y²)]/[(4x²-y²)(2x-5y)]=
=(12x²-30xy+6xy-15y²-8x²+20xy+4xy-10y²-4x²+y²)/[(4x²-y²)(2x-5y)]=
=-24y²/[(4x²-y²)(2x-5y)]
2)24y²/[(4x²-y²)(5y-2x)]:4y²/(4x²-y²)=24y²/[(4x²-y²)(5y-2x)]*(4x²-y²)/4y²=
=6/(5y-2x)