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Home » Now substitute into the identity for $x^3 + y^3$: - Dyverse

Now substitute into the identity for $x^3 + y^3$: - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Here, \( a = 10 \), \( b = 15 \), so:
\gcd(10, 15) = 5
\gcd(2^{10} - 1, 2^{15} - 1) = 2^5 - 1 = 32 - 1 = 31
The greatest common divisor is \(\boxed{31}\).
Question:** A zoologist tracking nocturnal animal activity cycles noti...
We seek the least three-digit number divisible by \( \text{lcm}(9, 12)...
First, compute the LCM:
= 3^2, \quad 12 = 2^2 \times 3 \quad \Rightarrow \quad \text{lcm}(9,12...
Now, find the smallest three-digit multiple of 36:
\left\lceil \frac{100}{36} \right\rceil = \left\lceil 2.777\ldots \rig...

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