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Simplifying f(x) = (3x + 4)(3x + -4) Multiply f * x fx = (3x + 4)(3x + -4) Reorder the terms: fx = (4 + 3x)(3x + -4) Reorder the terms: fx = (4 + 3x)(-4 + 3x) Multiply (4 + 3x) * (-4 + 3x) fx = (4(-4 + 3x) + 3x * (-4 + 3x)) fx = ((-4 * 4 + 3x * 4) + 3x * (-4 + 3x)) fx = ((-16 + 12x) + 3x * (-4 + 3x)) fx = (-16 + 12x + (-4 * 3x + 3x * 3x)) fx = (-16 + 12x + (-12x + 9x2)) Combine like terms: 12x + -12x = 0 fx = (-16 + 0 + 9x2) fx = (-16 + 9x2) Solving fx = -16 + 9x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -16x-1 + 9x Simplifying f = -16x-1 + 9x
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