$\text{1. 2x(x-7)-(x+3)(x-2)-(x+4)(x-4)}$
$\text{=$2x^{2}$ -14x-($x^{2}$-2x+3x-6)-( $x^{2}$ -16)}$
$\text{=2$x^{2}$ -14x-$x^{2}$ -x+6-$x^{2}$+16 }$
$\text{=-15x+22}$
2.$\text{2x+5(x-2)-3($x+2^{2}$ )+($x+1)^{2}$ }$
$\text{=2$x^{2}$ -4x+5x-10-3($x^{2}$ +4x+4)+$x^{2}$ 2x+1}$
$\text{=2$x^{2}$ -4x+5x-10-3$x^{2}$-12x-12x+ $x^{2}$ +2x+1}$
$\text{=-9x-21}$
3.$\text{(x+3)(x-3)-(x+5)(x-1)-($x-4)^{2}$ }$
$\text{=x-3-($x^{2}$-x+5x-5)-( $x^{2}$ -8x+16)}$
$\text{x-3-($x^{2}$ +4x-5)-$x^{2}$ +8x-16}$
$\text{=5x-14-2$x^{2}$ }$
$\text{=-2$x^{2}$ +5x-14}$
$\text{4. 2x($x+1)^{2}$ -($x-1)^{3}$ -(x-2)($x^{2}$ +2x+4)}$
$\text{=2x($x^{2}$ +2x+1)-($x^{3}$ -3$x^{2}$ +3x-1)(-$x^{3}$ -8)}$
$\text{=2$x^{3}$ +4$x^{2}$ +2x-$x^{3}$ +3$x^{2}$ -3x+1-$x^{3}$ +8}$
$\text{=7$x^{2}$ -x+9}$
$\text{5. (x+5)(x-5)(x+2)-($x+2)^{3}$ }$
$\text{=($x^{2}$ -25)(x+2(-($x+2)^{3}$ }$
$\text{=($x^{2}$ -25)(x+2)-($x^{3}$ +6$x^{2}$ +12x+8)}$
$\text{=$x^{3}$ +2$x^{2}$ -25x-50-$x^{3}$ -6$x^{2}$ -12x-8}$
$\text{=-4$x^{2}$ -37x-58}$
#Zie