\(A=x^2+2x+y^x-2y-2xy+27\)
\(A=\left(x^2-2xy+y^2\right)+2\left(x-y\right)+27\)
\(A=\left(x-y\right)^2+2.7+27\)
\(A=7^2+41=49+41=90\)
\(A=x^2+2x+y^2-2y-2xy+27\)
\(A=\left(x^2-2xy+y^2\right)+2\left(x-y\right)+27\)
\(A=\left(x-y\right)^2-2\left(x-y\right)+27\)
\(A=49-14+27=90\)