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Home » Por lo tanto, el valor de $a^3 + b^3$ es $\boxed370$. - Get link 4share

Por lo tanto, el valor de $a^3 + b^3$ es $\boxed370$. - Get link 4share

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Final answer: $ \boxed{30 - 12\sqrt{6}} $
Question: Rationalize the denominator of $ \frac{5}{\sqrt{7} + \sqrt{2...
Multiply numerator and denominator by the conjugate $ \sqrt{7} - \sqrt...
\frac{5}{\sqrt{7} + \sqrt{2}} \cdot \frac{\sqrt{7} - \sqrt{2}}{\sqrt{7...
Simplify the denominator using the difference of squares:
\frac{5(\sqrt{7} - \sqrt{2})}{5} = \sqrt{7} - \sqrt{2}
Final answer: $ \boxed{\sqrt{7} - \sqrt{2}} $
Question: Expand the product $ (x^2 + 2x + 3)(x^2 - 2x + 3) $.
Use distributive property (FOIL-like expansion):
x^2(x^2 - 2x + 3) = x^4 - 2x^3 + 3x^2 \\

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