Question

Answer 1

b, \(x^3-3x^2+3x-1=\left(x-1\right)^3\)

b, \(\dfrac{1}{27}+x^3=\left(x+\dfrac{1}{3}\right)\left(x^2-\dfrac{1}{3}x+\dfrac{1}{9}\right)\)

c, \(\dfrac{1}{1000}-1000x^3=\left(\dfrac{1}{10}-10x\right)\left(\dfrac{1}{100}+x+100x^2\right)\)

Answer 2

`a, 27x^3 - 27x^2 + 3x + 1 = (3x-1)^3`

`b, x^3 - 3x^2 + 3x - 1= (x-1)^3`

`c, 1/27 + x^3 = (1/3 + x)(1/9 - 1/3x + x^2)`

`d, 0,001 - 1000x^3 = (0,1 - 10x)(0,01 + x + 100x^2)`