Question

2(x+y) - x^2+y^2 factorise


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Answer 1

• 
  `\bf{(x + y) * (2+y-x)}`

Step-by-step explanation:

Given Expression :-

• 
  `\sf{ 2(x+y) - x^2+y^2}`

Steps to factorise :-

`\longrightarrow\:\:\sf{2(x+y) - x^2+y^2}`

• Use the commutative property to reorder the terms

`\longrightarrow\:\:\sf{2(x+y)+y^(2)-x^(2)}`

• Using a²-b² = (a-b) (a+b), factor the expression

`\longrightarrow\:\:\sf{2(x+y)+(y-x)* (y+x)}`

• Factor out x+y from the expression

`\longrightarrow\:\:\bf{(x + y) * (2+y-x)}`