Question

Factorise

${(a + b)}^{3} - {(a - b)}^{3}$

Answer 1

$let \: a \: be \: x \: and \: b\: be \: y$
${(x + y)}^{3} - {(x - y)}^{3} \\ = {x}^{3} + {y}^{3} + 3 {x}^{2} y + 3x {y}^{2} \\ - ( {x}^{3} - {y}^{3} - 3 {x}^{2} y + 3 x{y}^{2} ) \\ = {x}^{3} + {y}^{3} + 3 {x}^{2} y + 3x {y}^{2} \\ - {x}^{3} + {y}^{3} + 3 {x}^{2}y - 3x {y}^{2} \\ = 2 {y}^{3} + 6 {x}^{2} y \\ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - \\ hope \: it \: helps \: u \: dont \: forget \: to \: mark \: as \: brainliest$