Question

28. Simplify the following expression:
(x - y)(2x + y)+ (x - 2y) (x + y)​

Answer 1

Answer:

$x(2x + y) + - y(2x + y) + x( x + y) + - 2y(x + y)$

${2x}^{2} + xy - 2xy { - y}^{2} + {x}^{2} + xy - {2y}^{2} - 2xy$

$3 {x}^{2} - 3 {y}^{2} - 2xy$

Answer 2

Step-by-step explanation:

(x-y) (2x+y) + (x-2y) (x+y)

By opening the brackets;

2x²+ xy - 2xy - y² + x² + xy - 2xy - 2y²

3x² -3y² -xy -xy

=> 3x² - 3y² - 2xy