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Simplifying f(x) = (x2 + -81)(x2 + -1) Multiply f * x fx = (x2 + -81)(x2 + -1) Reorder the terms: fx = (-81 + x2)(x2 + -1) Reorder the terms: fx = (-81 + x2)(-1 + x2) Multiply (-81 + x2) * (-1 + x2) fx = (-81(-1 + x2) + x2(-1 + x2)) fx = ((-1 * -81 + x2 * -81) + x2(-1 + x2)) fx = ((81 + -81x2) + x2(-1 + x2)) fx = (81 + -81x2 + (-1 * x2 + x2 * x2)) fx = (81 + -81x2 + (-1x2 + x4)) Combine like terms: -81x2 + -1x2 = -82x2 fx = (81 + -82x2 + x4) Solving fx = 81 + -82x2 + x4 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 81x-1 + -82x + x3 Simplifying f = 81x-1 + -82x + x3
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