Simplify the algebraic expressions by removing grouping symbols.-2(x2�

1.	Simplify the algebraic expressions by removing grouping symbols.-2(x2 – y2 + xy) – 3(x2 +y2 – xy)
Answer» Given – 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. Therefore, we have = -2x²+ 2y² – 2xy – 3x² – 3y² + 3xy On rearranging, = -2x² – 3x² + 2y² – 3y²– 2xy + 3xy On simplifying, we get = -5x²– y² + xy

Simplify the algebraic expressions by removing grouping symbols.-2(x2 – y2 + xy) – 3(x2 +y2 – xy)

Answer»

Given – 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. Therefore, we have

= -2x²+ 2y² – 2xy – 3x² – 3y² + 3xy

On rearranging,

= -2x² – 3x² + 2y² – 3y²– 2xy + 3xy

On simplifying, we get

= -5x²– y² + xy