f(x)=(x^3-2)(x^3-2)

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Solution for f(x)=(x^3-2)(x^3-2) equation: 


Simplifying
f(x) = (x3 + -2)(x3 + -2)

Multiply f * x
fx = (x3 + -2)(x3 + -2)

Reorder the terms:
fx = (-2 + x3)(x3 + -2)

Reorder the terms:
fx = (-2 + x3)(-2 + x3)

Multiply (-2 + x3) * (-2 + x3)
fx = (-2(-2 + x3) + x3(-2 + x3))
fx = ((-2 * -2 + x3 * -2) + x3(-2 + x3))
fx = ((4 + -2x3) + x3(-2 + x3))
fx = (4 + -2x3 + (-2 * x3 + x3 * x3))
fx = (4 + -2x3 + (-2x3 + x6))

Combine like terms: -2x3 + -2x3 = -4x3
fx = (4 + -4x3 + x6)

Solving
fx = 4 + -4x3 + x6

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 4x-1 + -4x2 + x5

Simplifying
f = 4x-1 + -4x2 + x5

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