y=(x-1)(x^2+x+1)

Solution for y=(x-1)(x^2+x+1) equation:

Simplifying
y = (x + -1)(x2 + x + 1)

Reorder the terms:
y = (-1 + x)(x2 + x + 1)

Reorder the terms:
y = (-1 + x)(1 + x + x2)

Multiply (-1 + x) * (1 + x + x2)
y = (-1(1 + x + x2) + x(1 + x + x2))
y = ((1 * -1 + x * -1 + x2 * -1) + x(1 + x + x2))
y = ((-1 + -1x + -1x2) + x(1 + x + x2))
y = (-1 + -1x + -1x2 + (1 * x + x * x + x2 * x))
y = (-1 + -1x + -1x2 + (1x + x2 + x3))

Reorder the terms:
y = (-1 + -1x + 1x + -1x2 + x2 + x3)

Combine like terms: -1x + 1x = 0
y = (-1 + 0 + -1x2 + x2 + x3)
y = (-1 + -1x2 + x2 + x3)

Combine like terms: -1x2 + x2 = 0
y = (-1 + 0 + x3)
y = (-1 + x3)

Solving
y = -1 + x3

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = -1 + x3