Question

अवयव पाडा: 343a³ - 512b³

Answer 1

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Answer 2

अवयव पाडा: 343a³ - 512b³

$343 {a}^{3} = {(7a)}^{3} \\ \\ 512 {b}^{3} = {(8b)}^{3}$
${x}^{3} - {y}^{3} = (x-y)( {x}^{2} + xy + {y}^{2} ) \\ \\ {(7a)}^{3} - {(8b)}^{3} = (7a-8b)( {(7a)}^{2} + (7a)(8b) + {(8b)}^{2} ) \\ \\ = (7a-8b)(49 {a}^{2} + 56ab + 64{b}^{2} )$
अवयव

$343 {a}^{3} - 512 {b}^{3} = (7a-8b)(49 {a}^{2} + 56ab + 64{b}^{2} )$