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Simplifying f(x) = (x + 1)(2x + -1) Multiply f * x fx = (x + 1)(2x + -1) Reorder the terms: fx = (1 + x)(2x + -1) Reorder the terms: fx = (1 + x)(-1 + 2x) Multiply (1 + x) * (-1 + 2x) fx = (1(-1 + 2x) + x(-1 + 2x)) fx = ((-1 * 1 + 2x * 1) + x(-1 + 2x)) fx = ((-1 + 2x) + x(-1 + 2x)) fx = (-1 + 2x + (-1 * x + 2x * x)) fx = (-1 + 2x + (-1x + 2x2)) Combine like terms: 2x + -1x = 1x fx = (-1 + 1x + 2x2) Solving fx = -1 + 1x + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -1x-1 + 1 + 2x Simplifying f = -1x-1 + 1 + 2x Reorder the terms: f = 1 + -1x-1 + 2x
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