Question

20. Simplify : (x + y) (2x +y) + (x + 2y) (x - y) +y2
- 4xy

Answer 1

Answer:

Step-by-step explanation:

⇒ $(x + y) (2x +y) + (x + 2y) (x - y) +y2- 4xy$

⇒ $x(2x + y) +y(2x + y) + x(x - y) + 2y(x - y) +y^{2} - 4xy$

⇒ $2x^{2} + xy + 2xy +y^{2} + x^{2} - xy + 2xy - 2y^{2} +y^{2} - 4xy$

⇒ $(2x^{2}+ x^{2}) + (xy + 2xy - xy+ 2xy- 4xy) + (y^{2} - 2y^{2} +y^{2})$

⇒ $3x^{2} + 0xy + 0y^{2}$

⇒ $3x^{2}$