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Simplifying f(x) * f(y) = f(x + y) + xy Multiply f * x fx * f * y = f(x + y) + xy Multiply fx * f f2x * y = f(x + y) + xy Multiply f2x * y f2xy = f(x + y) + xy f2xy = (x * f + y * f) + xy f2xy = (fx + fy) + xy Solving f2xy = fx + fy + xy Solving for variable 'f'. Reorder the terms: -1fx + -1fy + f2xy + -1xy = fx + fy + xy + -1fx + -1fy + -1xy Reorder the terms: -1fx + -1fy + f2xy + -1xy = fx + -1fx + fy + -1fy + xy + -1xy Combine like terms: fx + -1fx = 0 -1fx + -1fy + f2xy + -1xy = 0 + fy + -1fy + xy + -1xy -1fx + -1fy + f2xy + -1xy = fy + -1fy + xy + -1xy Combine like terms: fy + -1fy = 0 -1fx + -1fy + f2xy + -1xy = 0 + xy + -1xy -1fx + -1fy + f2xy + -1xy = xy + -1xy Combine like terms: xy + -1xy = 0 -1fx + -1fy + f2xy + -1xy = 0 The solution to this equation could not be determined.
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