Answer:
- [tex]\bf{(x + y) \times (2+y-x)}[/tex]
Explanation:
Given Expression :-
- [tex] \sf{ 2(x+y) - x^2+y^2}[/tex]
Steps to factorise :-
[tex]\longrightarrow\:\:\sf{2(x+y) - x^2+y^2}[/tex]
- Use the commutative property to reorder the terms
[tex]\longrightarrow\:\:\sf{2(x+y)+y^{2}-x^{2}}[/tex]
- Using a²-b² = (a-b) (a+b), factor the expression
[tex]\longrightarrow\:\:\sf{2(x+y)+(y-x)\times (y+x)}[/tex]
- Factor out x+y from the expression
[tex]\longrightarrow\:\:\bf{(x + y) \times (2+y-x)}[/tex]
