`1) 1/4x^2 – (1/2x -4) 1/2x`
`=1/4x^2-1/4x^2-2x`
`=-2x`
$1')\dfrac{1}{4x^2}-(\dfrac{1}{2x}-4).\dfrac{1}{2x}$
$=\dfrac{1}{4x^2}-\dfrac{1}{4x^2}+\dfrac{2}{x}$
`=2/x`
`2) 2x (x-1) -x (4-x)`
`=2x^2-2x-4x+x^2`
`=3x^2-6x`
`=3x(x-2)`
`3) 2x^2 +3 (x^2 -1)`
`=2x^2+3x^2-3`
`=5x^2-3`
`4) x( x+1) (x+6) –x^3`
`=x(x^2+6x+x+6)-x^3`
`=x^3+7x^2+6x-x^3`
`=7x^2+6x`
`=x(2x+6)`
`5) 3 ( 1-4x) ( x-1) +4 (3x-2) (x+3)`
`=3(x-1-4x^2+4x)+4(3x^2+9x-2x-6)`
`=3x-3-12x^2+12x+12x^2+36x-8x-24`
`=43x-27`