Expanding the expression:
(2x+9)(4x-5)-3(x-1)= 2x(4x) + 2x(-5) + 9(4x) + 9(-5) - 3(x) + 3(1)= 8x^2 - 10x + 36x - 45 - 3x + 3= 8x^2 + 23x - 42
Therefore, the simplified expression is 8x^2 + 23x - 42.
Expanding the expression:
(2x+9)(4x-5)-3(x-1)
= 2x(4x) + 2x(-5) + 9(4x) + 9(-5) - 3(x) + 3(1)
= 8x^2 - 10x + 36x - 45 - 3x + 3
= 8x^2 + 23x - 42
Therefore, the simplified expression is 8x^2 + 23x - 42.