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