y=(x+3)(x+1)(x-1)

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Solution for y=(x+3)(x+1)(x-1) equation:


Simplifying
y = (x + 3)(x + 1)(x + -1)

Reorder the terms:
y = (3 + x)(x + 1)(x + -1)

Reorder the terms:
y = (3 + x)(1 + x)(x + -1)

Reorder the terms:
y = (3 + x)(1 + x)(-1 + x)

Multiply (3 + x) * (1 + x)
y = (3(1 + x) + x(1 + x))(-1 + x)
y = ((1 * 3 + x * 3) + x(1 + x))(-1 + x)
y = ((3 + 3x) + x(1 + x))(-1 + x)
y = (3 + 3x + (1 * x + x * x))(-1 + x)
y = (3 + 3x + (1x + x2))(-1 + x)

Combine like terms: 3x + 1x = 4x
y = (3 + 4x + x2)(-1 + x)

Multiply (3 + 4x + x2) * (-1 + x)
y = (3(-1 + x) + 4x * (-1 + x) + x2(-1 + x))
y = ((-1 * 3 + x * 3) + 4x * (-1 + x) + x2(-1 + x))
y = ((-3 + 3x) + 4x * (-1 + x) + x2(-1 + x))
y = (-3 + 3x + (-1 * 4x + x * 4x) + x2(-1 + x))
y = (-3 + 3x + (-4x + 4x2) + x2(-1 + x))
y = (-3 + 3x + -4x + 4x2 + (-1 * x2 + x * x2))
y = (-3 + 3x + -4x + 4x2 + (-1x2 + x3))

Combine like terms: 3x + -4x = -1x
y = (-3 + -1x + 4x2 + -1x2 + x3)

Combine like terms: 4x2 + -1x2 = 3x2
y = (-3 + -1x + 3x2 + x3)

Solving
y = -3 + -1x + 3x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -3 + -1x + 3x2 + x3

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