You Wont Believe What Happened When They Destroyed the Most Expensive Supercar! Watch Now!
You Wont Believe What Happened When They Destroyed the Most Expensive Supercar! Watch Now!
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The denominator simplifies using the difference of squares:
R = \frac{4(\sqrt{x} - 2)}{x - 4}
\boxed{\frac{4(\sqrt{x} - 2)}{x - 4}}
Question:** A patent attorney is reviewing a patent that involves a formula where \( p+q=10 \) and \( p^2+q^2=58 \). Find \( p^3 + q^3 \).
We know the identity:
p^3 + q^3 = (p+q)(p^2 - pq + q^2)
Given \( p+q = 10 \) and \( p^2 + q^2 = 58 \), we first find \( pq \) using:
10^2 = 58 + 2pq
= 58 + 2pq
2pq = 42 \quad \Rightarrow \quad pq = 21