Question

Multiply the following:

(2x – 2y – 3), (x + y + 5)

Answer 1

We have,

(2x – 2y – 3) and (x + y + 5)

∴ (2x – 2y – 3)(x + y + 5) = 2x(x  + y + 5) – 2y(x + y + 5) – 3(x + y + 5)

= 2x² + 2xy + 10x – 2yx – 2y² – 10y – 3x – 3y – 15

= 2x² + 2xy – 2yx + 10x – 3x – 2y² – 10y – 3y – 15  ...[Grouping like terms]

= 2x² + 7x – 13y – 2y² – 15