Question

Допоможіть будь ласка​

Answer 1

Ответ:

$a)2 {y}^{2} - 18 = 2( {y}^{2} - 9) \\ 2 {x}^{2} - 12x + 18 = 2( {x}^{2} - 6x + 9) \\ b)64a - {a}^{3} = a(64 - {a}^{2} ) \\ {a}^{2} - 2ab + {b}^{2} - 9 = {(a - b)}^{2} - 9 = (a - b - 3)(a - b + 3) \\ c) {x}^{3} - x {y}^{2} - 6 {y}^{2} + 6 {x}^{2} = x( {x}^{2} - {y}^{2} ) + 6( - {y}^{2} + {x}^{2} ) = (x + 6)( {x}^{2} - {y}^{2} )$

${a}^{2} + 4ab + 4 {b}^{2} - {a}^{3} - 8 {b}^{3} = {(a + 2b)}^{2} - ((a - 2b)( {a}^{2} + 2ab + 4 {b}^{2} )$