Question
Multiply the special product. \[ (\sqrt{3}+y)(\sqrt{3}-y)=\square \]
Ask by Ford Bowers. in the United States
Jan 14,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
3 - y^{2}
\]
Solution
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To multiply the expression, use the difference of squares formula, which states that \((a + b)(a - b) = a^2 - b^2\). Here, \(a = \sqrt{3}\) and \(b = y\). So, we calculate: \[ (\sqrt{3}+y)(\sqrt{3}-y) = (\sqrt{3})^2 - (y)^2 = 3 - y^2. \] Thus, the final answer is \[ 3 - y^2. \]