Question

Simplify each of the following algebraic expressions by removing grouping symbols.
−2 (x² − y² + xy) − 3(x² + y² − xy)

Answer 1

We have
− 2(x² − y² + xy) − 3(x² + y² − xy)
Since the '-' sign precedes the parentheses, we have to change the sign of each term in the parentheses when we remove them.
= - 2x² + 2y² - 2xy - 3x² - 3y² + 3xy
= - 2x² - 3x² + 2y²- 3y² - 2xy + 3xy
= - 5x² - y² + xy