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Home » Compute \(\cos 300^\circ\). - iBuildNew

Compute \(\cos 300^\circ\). - iBuildNew

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 To rationalize the denominator, we multiply both numerator and denominator by the conjugate of the denominator, which is $\sqrt{7} + \sqrt{2}$:

📌 Now simplify the denominator using the identity $(a - b)(a + b) = a^2 - b^2$:

📌 rac{3(\sqrt{7} + \sqrt{2})}{5}

📌 oxed{rac{3(\sqrt{7} + \sqrt{2})}{5}}

📌 Question: Expand the product $(2x - 3y)(x^2 + 4xy - 5y^2)$.

📌 We apply the distributive property to expand the product:

📌 2x(x^2 + 4xy - 5y^2) = 2x^3 + 8x^2y - 10xy^2

📌 -3y(x^2 + 4xy - 5y^2) = -3x^2y - 12xy^2 + 15y^3

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