Question

find the perimeter of rectangle whose length and breadth are given
${5x}^{2} - {3y}^{2}$
and
${x}^{2} + 2xy$
respectively.​

Answer 1

$perimeter \: of \: rectangle \\ 2( {5x}^{2} - {3y}^{2} ) + ( {x}^{2} + 2xy )\\ 2( {5x}^{2} + {x}^{2} - {3y}^{2} + 2xy) \\ 2( {6x}^{2} + 2xy - {3y}^{2} ) \\ {12x}^{2} + 4xy - {6y}^{2}$