(2x-1)²-(2-3x)²<5(1-x)(x+1)
(2x-1+2-3x)(2x-1-2+3x)<5(1-x)(x+1)
(1-x)(5x-3)-(1-x)(5x+5)<0
(1-x)(5x-3-5x-5)<0
-8(1-x)<0
所以1-x>0
得x<1
即不等式解集为x<1
(2x-1)²-(2-3x)²<5(1-x)(x+1)
(2x-1+2-3x)(2x-1-2+3x)<5(1-x)(x+1)
(1-x)(5x-3)-(1-x)(5x+5)<0
(1-x)(5x-3-5x-5)<0
-8(1-x)<0
所以1-x>0
得x<1
即不等式解集为x<1