Question

अवयव पाडा: 27m³ - 216n³

Answer 1

अवयव पाडा: 27m³ - 216n³

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} ) \\ \\ a = 3m \\ \\ b = 6n \\ \\ {(3m)}^{3} - ( {6n)}^{3} = (3m-6n)( {(3m)}^{2} + (3m)(6n)+ {(6n)}^{2} ) \\ \\ = (3m-6n)( 9{m}^{2} + 18mn+ 36{n}^{2} )$

$27 {m}^{3} - 216 {n}^{3} = (3m-6n)( 9{m}^{2} + 18mn+ 36{n}^{2} )$