The subtraction sign is distributed and then like terms are grouped and combined.
For example: (xy + 2x² + 4x + y) - (x² – 6x + 2y – xy) simplifies to:
xy + 2x² + 4x + y - x² + 6x - 2y + xy
2x² - x² + 4x + 6x + y - 2y + xy + xy
= x² + 10x - y + 2xy
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Algebra
The subtraction sign is distributed and then like terms are grouped and combined.
For example: (xy + 2x² + 4x + y) - (x² – 6x + 2y – xy) simplifies to:
xy + 2x² + 4x + y - x² + 6x - 2y + xy
2x² - x² + 4x + 6x + y - 2y + xy + xy
= x² + 10x - y + 2xy