Question

(x+3)^3

(3-x)^3

(2+y)^3

(y-4)^3

Answer 1

\((x+3)^3=x^3+9x^2+27x+27\)

\((3-x)^3=27-27x+9x^2-x^3\)

\((2+y)^3=8+12y+6y^2+y^3\)

\((y-4)^3 =y^3-12y^2+48y-64 \)

Answer 2

\(\left(x+3\right)^3=x^3+3.x^3.3+3x.9+27\\ =27-3.9x+3x^2.3-x^3\\ =8+3.4.y+3.2.y^2+y^3\\ =y^3-3.y^2.4+3.y.16-64\)

Answer 3

a: \(=x^3+9x^2+27x+27\)

b: \(=27-27x+9x^2-x^3\)

c: \(=y^3+6y^2+12y+8\)

d: \(=y^3-12y^2+48y-64\)

Answer 4

`(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3`

`(a-b)^3 = a^3 - 3a^2b + 3ab^2 - b^3`

`a, (x+3)^3 = x^3 + 9x^2 + 27x + 27`

`b, (3-x)^3 = 27 - 27x + 3x^2 - x^3`

`c, (2+y)^3 = 8 + 12y + 6y^2 + y^3`

`d, (y-4)^3 = y^3 - 12y^2 + 48y - 64`