Question

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


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Answer 1

Answer:

• $\bf{(x + y) \times (2+y-x)}$

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

$\longrightarrow\:\:\sf{2(x+y)+(y-x)\times (y+x)}$

• Factor out x+y from the expression

$\longrightarrow\:\:\bf{(x + y) \times (2+y-x)}$