Question

Simplify the following (4m+5n)²+(5m+4n)²+(4m+5n)(4m-5n)​

Answer 1

$\boxed{ \small{ \bf {(4m + 5n)}^{2} + {(5m + 4n)}^{2} +(4m + 5n)(4m - 5n)}} \\ \boxed{ \tiny{ \bf {( {16m}^{2} + {25n}^{2} + 20mn) + ( {25m}^{2} + {16n}^{2} + 20mn) + ({16m}^{2} - {25n}^{2} )}}} \\ \boxed{ \tiny{ \bf { {16m}^{2} + {25m}^{2} + {16m}^{2} + {25n}^{2} + {16n}^{2} - 25 {n}^{2} + 40mn }}} \\ \boxed{ \large{ \bf { { \red{{57m}^{2} + 16 {n}^{2} + 40mn}} }}}$

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