Question

factorise (x+y)²-(x-y)²​

Answer 1

Answer:

4xy

How to do it:

(x+y)² - (x-1)²

= (x²+y²+2xy)-(x²+y²-2xy)

= x²+y²+2xy-x²-y²+2xy

= 4xy

Hope this helps

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Answer 2

Answer:

(x + y)² - (x-y)²

4xy

Step-by-step explanation:

You can't take common in any of this as it is x+y and x-y. so we will be using identiy ( a + b)² = a² + b² + 2ab in first one (x+ y)² = x² + 2xy + y2. ( a= x, y= b). and second one ( x² + y² - 2xy) as there is a minus sign before the bracket the sign inside the bracket will change (-x² -y² +2xy) now we will open the bracket. x² + 2xy + y² -x² -y² + 2xy. Now rearrange the variables and answer will come 4xy