Expressions involving conjugates are combined by applying the following transformations:

In 2-D Math, the conjugate of an expression is depicted by a horizontal bar above the expression.

$\mathrm{combine}\left(\mathrm{conjugate}\left(x\right)+\mathrm{conjugate}\left(y\right)\,\mathrm{conjugate}\right)$

$\stackrel{\&conjugate0;}{\left(x+y\right)}$

$\mathrm{combine}\left(\mathrm{conjugate}\left(x\right)+{\mathrm{conjugate}\left(x\right)}^2+\mathrm{conjugate}\left(x^3\right)\,\mathrm{conjugate}\right)$

$\stackrel{\&conjugate0;}{\left(x^3+x^2+x\right)}$

$\mathrm{combine}\left({\mathrm{conjugate}\left(x\right)}^3+3\mathrm{conjugate}\left(y\right)\mathrm{conjugate}\left(z\right)\,\mathrm{conjugate}\right)$

${{\stackrel{\&conjugate0;}{x}}^{}}^3+3\stackrel{\&conjugate0;}{\left(yz\right)}$

$\mathrm{combine}\left({\mathrm{conjugate}\left(x\right)}^3+\mathrm{conjugate}\left(y\right)\mathrm{conjugate}\left(z\right)\,\mathrm{conjugate}\right)$

$\stackrel{\&conjugate0;}{\left(x^3+yz\right)}$