`a)(4x-3)(x-3)-x(1+4x)`
`=4x(x-3)-3(x-3)-(x+4x^2)`
`=4x^2-12x-3x+9-x-4x^2`
`=(4x^2-4x^2)+(-12x-3x-x)+9`
`=0-16x+9`
`=-16x+9`
`b)(x+4)^2-(x+3)(x-3)`
`=(x^2+2*x*4+4^2)-(x^2-3^2)`
`=(x^2+8x+16)-(x^2-9)`
`=x^2+8x+16-x^2+9`
`=(x^2-x^2)+8x+(16+9)`
`=8x+25`