Question

1. Simplify each of the following algebraic expressions by removing grouping symbols.
a) -2(x² - y² + xy) - 3(x² + y² - xy)
b) a - [b - {a - (b - 1) + 3a}]​

Answer 1

Step-by-step explanation:

Here, (-) sign precedes both the parenthesis, so we remove it and change the sign of each term within

∴−2(x

2

−y

2

+xy)−3(x

2

+y

2

−xy)

=−2x

2

+2y

2

−2xy−3x

2

−3y

2

+3xy

Rearranging and collecting the like terms, we get:

=−2x

2

−3x

2

+2y

2

−3y

2

−2xy+3xy

=(−2−3)x

2

+(2−3)y

2

+(−2+3)xy

=−5x

2

−y

2

+xy