Question

सरळरूप द्या: (4a - 3)³ - (4a + 3)³

Answer 1

सरळरूप द्या: (4a - 3)³ - (4a + 3)³

सरळरूप
${x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )$

$x = 4a - 3 \\ \\ y = 4a + 3$
${(4a - 3)}^{3} - {(4a + 3)}^{3} \\ \\ = (4a - 3 - 4a - 3)( {(4a - 3)}^{2} +(4a - 3)(4a + 3) + {(4a + 3)}^{2} ) \\ \\ = - 6(16 {a}^{2} + 9 - 24a + 16 {a}^{2} - 9 + 16 {a}^{2} + 9 + 24a) \\ \\ =( - 6) (48 {a}^{2} + 9)$
सरळरूप:
${(4a - 3)}^{3} - {(4a + 3)}^{3} = - 6(48 {a}^{2} + 9)$