\(A=4x^2+6xy-5\)
\(B=-2xy+3x^2y-6=3x^2y-2xy-6\)
\(A+B=4x^2y+6xy-5+3x^2y-2xy-6\)
\(=7x^2y+4xy-11\)
\(A-B=4x^2y+6xy-5-\left(3x^2y-2xy-6\right)\)
\(=4x^2y+6xy-5-3x^2y+2xy+6\)
\(=x^2y+8xy+1\)
\(B-A=3x^2y-2xy-6-\left(4x^2y+6xy-5\right)\)
\(=3x^2y-2xy-6-4x^2y-6xy+5\)
\(=-x^2y-8xy-1\)