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Different Ways to Say Happy Birthday - GetMeFoodie

📅 May 1, 2026 👤 scraface

May 01, 2026

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🔥 Popular Posts

Recognize this as a difference of squares:
16x^4 - 81y^4 = (4x^2)^2 - (9y^2)^2 = (4x^2 - 9y^2)(4x^2 + 9y^2)
Now notice that $ 4x^2 - 9y^2 $ is also a difference of squares:
4x^2 - 9y^2 = (2x - 3y)(2x + 3y)
So the full factorization is:
Final answer: $ \boxed{(2x - 3y)(2x + 3y)(4x^2 + 9y^2)} $
Question: Compute the square of $ 3\sqrt{2} - 2\sqrt{3} $.
Use the identity $ (a - b)^2 = a^2 - 2ab + b^2 $:
Compute each term:
2(3\sqrt{2})(2\sqrt{3}) = 12\sqrt{6}

📝 Recent Posts

Compute the value:
\left( \frac{80}{101} \right)^3 = \frac{512000}{1030301}
- \frac{512000}{1030301} = \frac{518301}{1030301}
Thus, the probability that the product is divisible by 5 is:
\boxed{\frac{518301}{1030301}}
Question: A geotechnical engineer is analyzing soil samples from three...
Solution: Each die roll (measurement) results in an integer from 1 to...
6^3 = 216
We now count the number of outcomes where the sum of the three numbers...
The odd numbers from 1 to 6 are: 1, 3, 5 (3 options), and the even num...

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