Question

using suitable alzebric identities simplify
( 2x-y)^2 +(2x+y)^2
​

Answer 1

Answer:

8x^2 + 2y^2

Step-by-step explanation:

(2x-y)^2 = 4x^2 + y^2 - 4xy------------  [ (a-b)^2]  ..........(i)

(2x+y)^2 = 4x^2 + y^2 + 4xy------------  [ (a+b)^2].............(ii)

adding (i) and (ii), we get :

8x^2 + 2y^2

Answer 2

Answer:

$8x^2+y^2$

Identity used = $(a-b)^2= a^2+b^2-2ab$ And $(a+b)^2=a^2+b^2+2ab$

                         

Step-by-step explanation:

$(2x-y)^{2}$$+(2x+y)^{2}$

$4x^{2}$$+y^2-2*2x*y$$+4x^2+y^2+2*2x*y$

$4x^2-4xy+4x^2+y^2+4xy$

$8x^2+y^2$                                     [ -4xy will be canceled by 4xy]