Question

Answer 1

`a, = x^3 + 3 . 4 x^2 + 3 . 4^2 x + 4^3`

`= (x+4)^3`

`b, = x^3 - 3.2x^2 + 3.2^2x - 2^3`

`= (x-2)^3`

`c, -x^3 + 3x^2 - 3x + 1`

`= -x^3 + 3 . 1x^2 - 3 . 1^2 . x + 1`

`= (1-x)^3.`

Answer 2

a) \(x^3+12x^2+48x+64\)

\(=x^3+3.x^2.4+3.x.4^2+4^3\)

\(=\left(x+4\right)^3\)

b) \(x^3-6x^2+12x-8\)

\(=x^3-3.x^2.2+3.x.2^2-2^3\)

\(=\left(x-2\right)^3\)

c) \(-x^3+3x^2-3x+1\)

\(=1^3-3.1^2.x+3.1.x^2-x^3\)

\(=\left(1-x\right)^3\)

Answer 3

a: \(=\left(x+4\right)^3\)

b: \(=\left(x-2\right)^3\)

c: \(=\left(1-x\right)^3\)