Question

How do you Factorise x²+y²

Answer 1

Step-by-step explanation:

The difference of squares, x² – y², can be factored as the product of the sum and difference of two terms, or x² – y² = (x + y)(x – y). Example: 2x2 – 18 = 2(x² – 9), = 2(x – 3)(x + 3).

Answer 2

Answer:

(x+y)² - 2xy or (x-y)² + 2xy

Step-by-step explanation:

there is no specific identity for this as far as I know.

x² + y² , this is not needed to be solved. You can either write it as the final answer.

OR

It can be solved by x²+y² = (x+y)² - 2xy

Proof : (x+y)² + 2xy = x²+ y² + 2xy - 2xy = x²+y²

OR

It can be solved by x²+y² = (x-y)² + 2xy

Proof : (x-y)² + 2xy = x²+ y² - 2xy + 2xy = x²+y²

Hope this will help you.

If so please mark me brainliest.