To find the product of \((4y + 5)(4y - 4)\), you can use the distributive property (also known as the FOIL method for binomials).
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First, multiply the first terms: \[ 4y \cdot 4y = 16y^2 \]
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Next, multiply the outer terms: \[ 4y \cdot (-4) = -16y \]
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Then, multiply the inner terms: \[ 5 \cdot 4y = 20y \]
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Finally, multiply the last terms: \[ 5 \cdot (-4) = -20 \]
Now, combine all these results: \[ 16y^2 - 16y + 20y - 20 \]
Now simplify: \[ 16y^2 + 4y - 20 \]
So, the answer in standard form is: \[ \boxed{16y^2 + 4y - 20} \]