Question

This is confusing (2x+y)^2−(x−2y)^2

Answer 1

Hope this will help u...

Look at the attached picture⤴⤴

Answer 2

Answer:

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

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

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

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

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

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

$= {3x}^{2} + {5y}^{2}$