Question
Simplify: $xy - yz - zx - {yx - (3y - xz) - (xy - zy)}$
✓
Answer
Removing the innermost grouping symbol $( )$ first, then $\{ \}$ and then $[ ]$,
we have: $xy - [yz - zx - {yx - (3y - xz) - (xy - zy)}] $
$= xy - [yz - zx - {yx - 3y + xz - xy + zy}] $
$= xv - [yz - zx - {-3y + xz + zy}] $
$= xy - [yz - zx + 3y - xz - zy] $
$= xy - [-2xz + 3y] $
$= xy + 2xz - 3y$
we have: $xy - [yz - zx - {yx - (3y - xz) - (xy - zy)}] $
$= xy - [yz - zx - {yx - 3y + xz - xy + zy}] $
$= xv - [yz - zx - {-3y + xz + zy}] $
$= xy - [yz - zx + 3y - xz - zy] $
$= xy - [-2xz + 3y] $
$= xy + 2xz - 3y$
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