Question

write the following cube in expanded form (x-⅔y)³
answer it and get 15 points. ​

Answer 1

Answer:

$1/27x^6y^3$

Step-by-step explanation:

Answer 2

Answer:

Identity used

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

So,

${(x - \frac{2}{3}y) }^{3} \\ = {x}^{3} - 3 {x}^{2} (\frac{2}{3}) y + 3x {( \frac{2y}{3} )}^{2} - {( \frac{2y}{3} )}^{3} \\ = {x}^{3} - 2 {x}^{2} y + \frac{2}{3} x {y}^{2} - \frac{8}{27} {y}^{3}$