Question

solve this polynomials equation​

Answer 1

$length \: of \: the \: rectangular \\ \: farm \: = (2 {a}^{2} + 3 {b}^{2} )$

$breadth \: \: of \: the \: rectangular \\ \: farm \: = (2 {a}^{2} + 3 {b}^{2} )$

and

$side \: of \: the \: square \: plot \: = ( {a}^{2} - {b}^{2} )$

Therefore,

$remaining \: area \: of \: fied = \\ area \: of \: rectangular \\ - area \: of \: squre$

$remaining \: area = \\ = (2 {a}^{2} + 3 {b}^{2} )(2 {a}^{2} + 3 {b}^{2} ) - ( {a}^{2} - {b}^{2} ) \\ = {(2 {a}^{2} + 3 {b}^{2}) }^{2} - {a}^{2} + {b}^{2} \\ = 4 {a}^{4} + 9 {b}^{4} + 12 {a}^{2} {b}^{2} - {a}^{2} + {b}^{2}$

hope it will help ✨✨✨

Answer 2

Step-by-step explanation:

$length \: of \: the \: rectangular \\ \: farm \: = (2 {a}^{2} + 3 {b}^{2} )$

$breadth \: \: of \: the \: rectangular \\ \: farm \: = (2 {a}^{2} + 3 {b}^{2} )$

and

$side \: of \: the \: square \: plot \: = ( {a}^{2} - {b}^{2} )$

Therefore,

$remaining \: area \: of \: fied = \\ area \: of \: rectangular \\ - area \: of \: squre$

$remaining \: area = \\ = (2 {a}^{2} + 3 {b}^{2} )(2 {a}^{2} + 3 {b}^{2} ) - ( {a}^{2} - {b}^{2} ) \\ = {(2 {a}^{2} + 3 {b}^{2}) }^{2} - {a}^{2} + {b}^{2} \\ = 4 {a}^{4} + 9 {b}^{4} + 12 {a}^{2} {b}^{2} - {a}^{2} + {b}^{2}$

hope it will help