Question

अवयव पाडा: 2l³ + 432m³

Answer 1

अवयव पाडा: 2l³ + 432m³

$2 {i}^{3} + 432 {m}^{3} \\ \\ 2( {i}^{3} + 216 {m}^{3} ) \\ \\ = 2[ {i}^{3} + {(6m)}^{3} ]$

अवयव

${x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} ) \\ \\ x = i \\ \\ y = 6m \\ \\ {i}^{3} + {(6m)}^{3} = (i + 6m)( {i}^{2} - (i)(6m) + {(6m)}^{2} ) \\ \\ = (i + 6m)( {i}^{2} - 6mi + 36 {m}^{2} )$
$2 {i}^{3} + 432 {m}^{3} = (i + 6m)( {i}^{2} - 6mi + 36 {m}^{2} )$