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Home » \( 1^2 \equiv 1 \) - ToelettAPP

\( 1^2 \equiv 1 \) - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \[(3x - 2)^2 = (3x)^2 - 2(3x)(2) + (2)^2.\]

📌 \[ = 9x^2 - 12x + 4. \]

📌 The square of \( (3x - 2) \) is \(\boxed{9x^2 - 12x + 4}\).**Question:

📌 Given the function \( h(x) = \frac{3x + 5}{\sqrt{2x + 1}} \), rationalize the denominator and simplify.

📌 To rationalize the denominator of \( h(x) = \frac{3x + 5}{\sqrt{2x + 1}} \), we multiply both the numerator and the denominator by \( \sqrt{2x + 1} \) to eliminate the square root in the denominator:

📌 h(x) = \frac{3x + 5}{\sqrt{2x + 1}} \cdot \frac{\sqrt{2x + 1}}{\sqrt{2x + 1}} = \frac{(3x + 5) \sqrt{2x + 1}}{2x + 1}

📌 The rationalized form is:

📌 \boxed{\frac{(3x + 5) \sqrt{2x + 1}}{2x + 1}}

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