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Simplifying f(x + y) = f(x) + f(y) + 2f(x) * f(y) (x * f + y * f) = f(x) + f(y) + 2f(x) * f(y) (fx + fy) = f(x) + f(y) + 2f(x) * f(y) Multiply f * x fx + fy = fx + f(y) + 2f(x) * f(y) Multiply f * y fx + fy = fx + fy + 2f(x) * f(y) Multiply f * x fx + fy = fx + fy + 2fx * f * y Multiply fx * f fx + fy = fx + fy + 2f2x * y Multiply f2x * y fx + fy = fx + fy + 2f2xy Add '-1fx' to each side of the equation. fx + -1fx + fy = fx + fy + -1fx + 2f2xy Combine like terms: fx + -1fx = 0 0 + fy = fx + fy + -1fx + 2f2xy fy = fx + fy + -1fx + 2f2xy Reorder the terms: fy = fx + -1fx + fy + 2f2xy Combine like terms: fx + -1fx = 0 fy = 0 + fy + 2f2xy fy = fy + 2f2xy Add '-1fy' to each side of the equation. fy + -1fy = fy + -1fy + 2f2xy Combine like terms: fy + -1fy = 0 0 = fy + -1fy + 2f2xy Combine like terms: fy + -1fy = 0 0 = 0 + 2f2xy 0 = 2f2xy Solving 0 = 2f2xy Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f2xy' to each side of the equation. 0 + -2f2xy = 2f2xy + -2f2xy Remove the zero: -2f2xy = 2f2xy + -2f2xy Combine like terms: 2f2xy + -2f2xy = 0 -2f2xy = 0 Divide each side by '-2'. f2xy = 0 Simplifying f2xy = 0 The solution to this equation could not be determined.
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