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Home » Multiplicativity: $ f(xy) = f(x)f(y) $ - Sterling Industries

Multiplicativity: $ f(xy) = f(x)f(y) $ - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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Expand the product \((x + 4)(x - 5)\).
Use the distributive property (FOIL method):
\[(x + 4)(x - 5) = x(x) + x(-5) + 4(x) + 4(-5).\]
Simplify each term:
\[ = x^2 - 5x + 4x - 20. \]
\[ = x^2 - x - 20. \]
The expanded form is \(\boxed{x^2 - x - 20}\).
Compute the square of \( (3x - 2) \).
Use the formula \((a - b)^2 = a^2 - 2ab + b^2\):
\[(3x - 2)^2 = (3x)^2 - 2(3x)(2) + (2)^2.\]

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