f(x)=(x+3)(x^2-3x+9)

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Solution for f(x)=(x+3)(x^2-3x+9) equation: 


Simplifying
f(x) = (x + 3)(x2 + -3x + 9)

Multiply f * x
fx = (x + 3)(x2 + -3x + 9)

Reorder the terms:
fx = (3 + x)(x2 + -3x + 9)

Reorder the terms:
fx = (3 + x)(9 + -3x + x2)

Multiply (3 + x) * (9 + -3x + x2)
fx = (3(9 + -3x + x2) + x(9 + -3x + x2))
fx = ((9 * 3 + -3x * 3 + x2 * 3) + x(9 + -3x + x2))
fx = ((27 + -9x + 3x2) + x(9 + -3x + x2))
fx = (27 + -9x + 3x2 + (9 * x + -3x * x + x2 * x))
fx = (27 + -9x + 3x2 + (9x + -3x2 + x3))

Reorder the terms:
fx = (27 + -9x + 9x + 3x2 + -3x2 + x3)

Combine like terms: -9x + 9x = 0
fx = (27 + 0 + 3x2 + -3x2 + x3)
fx = (27 + 3x2 + -3x2 + x3)

Combine like terms: 3x2 + -3x2 = 0
fx = (27 + 0 + x3)
fx = (27 + x3)

Solving
fx = 27 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 27x-1 + x2

Simplifying
f = 27x-1 + x2

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