Question

This is confusing
(2x+y)^2−(x−2y)^2

Answer 1

Hope this will help u...

Look at the attached picture⤴⤴

Answer 2

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

`< {(x + y)}^(2) = {x}^(2) + 2xy + {y}^(2) >`

`< {(x - y)}^(2) = {x}^(2) - 2xy + {y}^(2) >`

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

`{4x}^(2) + 4xy + {y}^(2) - {x}^(2) - 4xy + {4y}^(2)`

`{4x}^(2) - {x}^(2) + {4y}^(2) + {y}^(2)`

`= {3x}^(2) + {5y}^(2)`