Question

Answer 1

a)

\(=x^3-3-\left(x^3-3x^2+3x-1\right)+2\)

\(=x^3-3-x^3+3x^2-3x+1+2\)

\(=x^3-x^3+3x^2-3x-3+1+2\)

\(=3x^2-3x\)

b)

\(=x^2y^2-2xy+1-2\left(x^2y^2+2xy-xy-2\right)+x^2y^2+4xy+4\)

\(=x^2y^2-2xy+1-2x^2y^2-4xy+2xy+4+x^2y^2+4xy+4\)

\(=x^2y^2-2x^2y^2+x^2y^2-2xy+2xy-4xy+4xy+1+4+4\)

\(=9\)