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Simplifying f(x) = (x + a)(x + -1b) Multiply f * x fx = (x + a)(x + -1b) Reorder the terms: fx = (a + x)(x + -1b) Reorder the terms: fx = (a + x)(-1b + x) Multiply (a + x) * (-1b + x) fx = (a(-1b + x) + x(-1b + x)) fx = ((-1b * a + x * a) + x(-1b + x)) fx = ((-1ab + ax) + x(-1b + x)) fx = (-1ab + ax + (-1b * x + x * x)) fx = (-1ab + ax + (-1bx + x2)) fx = (-1ab + ax + -1bx + x2) Solving fx = -1ab + ax + -1bx + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -1abx-1 + a + -1b + x Simplifying f = -1abx-1 + a + -1b + x Reorder the terms: f = a + -1abx-1 + -1b + x
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