Question

Answer 1

a: \(A+B=x^2y+x^3-xy^2+3+x^3+xy^2-xy-6\)

\(=2x^3+x^2y-xy-3\)

\(A-B=x^2y+x^3-xy^2+3-x^3-xy^2+xy+6\)

\(=x^2y-2xy^2+xy+9\)

b: \(C+D=\left(-3x^2+5x^2\right)+\left(3xyz+xyz\right)+\left(5xy-5xy\right)+3-y-1\)

\(=2x^2+4xyz-y+2\)

\(C-D=3xyz-3x^2+5xy-1-5x^2-xyz+5xy-3+y\)

\(=-8x^2+2xyz+10xy+y-4\)

c: \(E+F=x^2y+0.5x^3y-7.5x^3y^2+x^3+3xy^3-x^2y+5.5x^3y^2\)

\(=0.5x^3y-2x^3y^2+x^3+3xy^3\)

\(E-F=x^2y+0.5x^3y-7.5x^3y^2+x^3-3xy^3+x^2y-5.5x^3y^2\)

\(=2x^2y+0.5x^3y-13x^3y^2+x^3-3xy^3\)

d: \(G+H=x^5+xy+0.3y^2-x^2y^3-2+x^2y^3+5-1.3y^2\)

\(=x^5+xy-y^2+3\)

\(G-H=x^5+xy+0.3y^2-x^2y^3-2-x^2y^3-5+1.3y^2\)

\(=x^5+xy+1.6y^2-2x^2y^3-7\)