Question

e) Simplify → (x +y) (2x +y ) + (x + 2y) (x - y)​

Answer 1

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

2x² + xy + 2xy + y² + ( x + 2y ) ( x - y )

2x² + 3xy + y² + ( x + 2y ) ( x - y )

2x² + 3xy + y² + x² - xy + 2yx - 2y²

2x² + 3xy + y² + x² + xy - 2y²

3x² + 3xy + y² + xy - 2y²

3x² + 4xy + y² - 2y²

3x² + 4xy - y²

Answer 2

Answer:

1 st expression (x+y)(2x+y)

2nd expression (x+2y) (x-y)

solving first expression

(x+y) (2x+y)

=x(2x+y ) +y (2x+y)

= (x×2x ) + (x×y) +(y×2x) +(y×y)

= 2x2 + xy +2yx+y2

= 2x2 + xy + 2xy + y2

= 2x2+3xy+ y2

solving second expression

(x+2y) (x-y)

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

= (x×x) -(x×y) +(2y×x) - (2y×y)

= x2- xy +2yx -2y2

= x2+xy- 2y2

now our expression become b