Question

अवयव पाडा: 64x³ - 729y³

Answer 1

64x^3-729y^3

= (4x)^3-(9y)^3

= (4x-9y) ( 16x^2+36xy+81y^2)

Answer 2

अवयव पाडा: 64x³ - 729y³

$64 {x}^{3} = {(4x)}^{3} \\ \\ 729 {y}^{3} = {(9y)}^{3}$
${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} ) \\ \\ {(4x)}^{3} - {(9y)}^{3} = (4x - 9y)( {(4x)}^{2} + (4x)(9y) + {(9y)}^{2} ) \\ \\ = (4x - 9y)(16 {x}^{2} + 36xy + 81 {y}^{2} )$
अवयव

$64 {x}^{3} - 729 {y}^{3} = (4x - 9y)(16 {x}^{2} + 36xy + 81 {y}^{2} )$