∵x^2+4x-5=0
∴x^2+4x=5
(2x+3)(2x-1)-2(x-1)²+1
=4x^2+6x-2x-3-2(x^2-2x+1)+1
=4x^2+4x-3-2x^2+4x-2+1
=2x^2+8x-4
=2(x^2+4x-2)
=2(5-2)
=2*3
=6
∵x^2+4x-5=0
∴x^2+4x=5
(2x+3)(2x-1)-2(x-1)²+1
=4x^2+6x-2x-3-2(x^2-2x+1)+1
=4x^2+4x-3-2x^2+4x-2+1
=2x^2+8x-4
=2(x^2+4x-2)
=2(5-2)
=2*3
=6