Question

${(x + y)}^{3} + (x - y) {}^{3} = \\ \\ 1) \: 2 {x}^{2} + 6x {y}^{2} \\ 2) {x}^{2} + {y}^{2} - 6xy \\ 3)2 {y}^{2} - 2 {x}^{2} y \\ 4)2 {x}^{2} - 6x {y}^{2}$
​

Answer 1

HAVE A NICE DAY!!!

HOPE IT HELPS YOU!!!

Answer 2

$2{x}^{3}+6x{y}^{2}$

Step by Step

${(x + y)}^{3} + (x - y) {}^{3}$

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

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

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

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

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

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

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

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

${x}^{3}+2{x}^{2}y+x{y}^{2}+y{x}^{2}+2{y}^{2}x+{y}^{3}+{x}^{3}-2{x}^{2}y+x{y}^{2}-y{x}^{2}+2{y}^{2}x-{y}^{3}$

$2{x}^{3}+6x{y}^{2}$