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Home » \Rightarrow (2a - 3b)(4a^2 + 6ab + 9b^2) = 8a^3 - 27b^3 - Abu Waleed Tea

\Rightarrow (2a - 3b)(4a^2 + 6ab + 9b^2) = 8a^3 - 27b^3 - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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For $ t = 2 $: $ 4a + 2b + c = 1200 $ (2)
For $ t = 3 $: $ 9a + 3b + c = 2100 $ (3)
Subtract (1) from (2): $ 3a + b = 700 $ (4)
Subtract (2) from (3): $ 5a + b = 900 $ (5)
Subtract (4) from (5): $ 2a = 200 \Rightarrow a = 100 $.
The value of $ a $ is $ \boxed{100} $.
Question: Rationalize the denominator of $ \frac{\sqrt{7}}{\sqrt{7} -...
Solution: Multiply numerator and denominator by the conjugate $ \sqrt{...
\frac{\sqrt{7}(\sqrt{7} + \sqrt{3})}{(\sqrt{7} - \sqrt{3})(\sqrt{7} +...
The rationalized form is $ \boxed{\dfrac{7 + \sqrt{21}}{4}} $.

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