1.
a, (x+1)(\(x^2\)-x+1)-(\(x^3\)-8)
= ( \(x^3\)+1) - \(x^3\)+8
=\(x^3\)+1-\(x^3\)+8
=1+8
=9
b, (x-2)(\(x^2\)+2x+4) -(\(x^3\)-8)
=(\(x^3\)-8)-(\(x^3\)-8)
=\(x^3\)-8-(\(x^3\)-8)
=\(x^3\)-8-\(x^3\)+8
=0
c: \(=x^3+2x^2+4x+x^2+2x+4-x^3+16\)
\(=3x^2+6x+20\)
d: \(=x^2-25-x^2+2x-3=2x-28\)
e: \(=4x^2-9-4x^2-4x-1=-4x-10\)