A(x)=x-2
B(x)=x^2+x
C(x)=x^3+x^2
a)
(B(x)-A(x)-2)^3=(x^2+x-(x-2)-2)^3
=(x^2+x-x+2-2)^3
=(x^2)^3
=x^6
b)
(C(x)-B(x)+x)^5=(x^3+x^2-x^2-x+x)^5
=(x^3)^5
=x^15
c)
(A(x)*B(x)+C(x)+2x)^4=((x-2)*(x^2+x)+x^3+x^2+2x)^4
=(x^3+x^2-2x^2-2x+x^3+x^2+2x)^4
=(2x^3)^4
=16x^12
d)
[x^3+x^2/x^2+x -4(x-2)-8]^3=
=(x^2+x/x+1 -4x)^3
=([x^2+x-4x(x+1)]/x+1)^3
=[(x^2+x-4x^2-3x)/x+1]^3
= [-3x(x+1)/x+1]^3
= -(3x)^3
= -27x^3