a)
`5(2x+3)( x+2) -2 ( 5x-4) (x-1)`
`=10x(x + 2) + 15(x+2) - 2(5x-2)(x-1)`
`= 10x^2 + 20x + 15(x+2) - 2(5x-2)(x-1)`
`= 10x^2 + 20x + 15x + 30 -2(5x-2)(x-1)`
`= 10x^2 + 35x + 30 -2(5x-2)(x-1)`
`= 10x^2 + 35x + 30 -10x(x-1)+8(x-1)`
`= 10x^2 + 35x + 30 -10x^2 + 10x +8x-8`
`= (10x^2 - 10x^2) + (35x + 10x + 8x) + ( 30 - 8)`
`= 53x + 22`
b)
`(10x+9) x- (5x-1) (2x+3)`
`= 10x^2 + 9x - (5x-1) (2x+3)`
`= 10x^2 + 9x - [5x(2x+3) - 1(2x+3)]`
`= 10x^2 + 9x - [10x^2 + 15x -( 2x + 3)]`
`= 10x^2 + 9x - (10x^2 + 15x - 2x - 3)`
`= 10x^2 + 9x - [(10x^2 + (15x - 2x) - 3)]`
`= 10x^2 + 9x - (10x^2 + 13x - 3)`
`= 10x^2 + 9x - (10x^2 + 13x - 3)`
`= 10x^2 + 9x - 10x^2 - 13x + 3`
`= (10x^2 - 10x^2) + (9x - 13x) + 3`
`= -4x + 3`
c)
`3 (2x-1) -5 (x-3)+6 ( 3x-4)`
`= 6x - 3 - 5x + 15 + 18x - 24`
`= 6x - (3+15-24) - 5x + 18x`
`= 6x - 12 - 5x + 18x`
`= (6x - 5x + 18x ) - 12`
`= 19x - 12`