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Simplifying f(x) = (X2 + -1)(5x + 10) Multiply f * x fx = (X2 + -1)(5x + 10) Reorder the terms: fx = (-1 + X2)(5x + 10) Reorder the terms: fx = (-1 + X2)(10 + 5x) Multiply (-1 + X2) * (10 + 5x) fx = (-1(10 + 5x) + X2(10 + 5x)) fx = ((10 * -1 + 5x * -1) + X2(10 + 5x)) fx = ((-10 + -5x) + X2(10 + 5x)) fx = (-10 + -5x + (10 * X2 + 5x * X2)) fx = (-10 + -5x + (10X2 + 5xX2)) Reorder the terms: fx = (-10 + 10X2 + -5x + 5xX2) fx = (-10 + 10X2 + -5x + 5xX2) Solving fx = -10 + 10X2 + -5x + 5xX2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -10x-1 + 10x-1X2 + -5 + 5X2 Simplifying f = -10x-1 + 10x-1X2 + -5 + 5X2 Reorder the terms: f = -5 + 5X2 + -10x-1 + 10x-1X2
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