Question

Simplify each of the following algebraic expressions by removing grouping symbols.
20 − [5xy + 3{x² − (xy − y) − (x − y)}]

Answer 1

First we have to remove the small brackets, or parentheses, ( ), then the curly brackets, { }, and then the square brackets, [ ].
Therefore, we have
20 - [5xy + 3{x² - (xy - y) - (x - y)}]
= 20 - [5xy + 3{x² - xy + y - x + y}]
= 20 - [5xy + 3{x² - xy + 2y - x}]
= 20 - [5xy + 3x² - 3xy + 6y - 3x]
= 20 - [2xy + 3x² + 6y - 3x]
= 20 - 2xy - 3x² - 6y + 3x
= - 3x² - 2xy - 6y + 3x + 20