Question

(x+y)whole square -(x-y) whole square

Answer 1

..........................

Answer 2

Answer:

(x+y)²-(x-y)² = 4xy

Explanation:

_________________________

We know the algebraic identities:

i) (a+b)² = a²+2ab+b²

ii) (a-b)² = a²-2ab+b²

________________________

Now ,

Given (x+y)²-(x-y)²

= x²+2xy+y²-(x²-2xy+y²)

= x²+2xy+y²-x²+2xy-y²

Rearranging the like terms , we get

= x²-x²+2xy+2xy+y²-y²

= 4xy

Therefore,

(x+y)²-(x-y)² = 4xy

••••