Simplify-b-1-4-c-c-1-4-b-b-1-4-c-c-1-4-

Question Number 207771 by hardmath last updated on 25/May/24

Simplify : \frac{\sqrt[4]{b} \sqrt{c} - \sqrt[4]{c} \sqrt{b}}{\sqrt[4]{b} \sqrt{c} - \sqrt[4]{c}} = ?

Answered by Rasheed.Sindhi last updated on 26/May/24

\frac{b^{1 / 4} c^{1 / 2} - c^{1 / 4} b^{1 / 2}}{b^{1 / 4} c^{1 / 2} - c^{1 / 4}}

\frac{b^{1 / 4} c^{1 / 4} (c^{1 / 4} - b^{1 / 4})}{c^{1 / 4} (b^{1 / 4} c^{1 / 4} - 1)}

\frac{b^{1 / 4} (c^{1 / 4} - b^{1 / 4})}{b^{1 / 4} c^{1 / 4} - 1}

\frac{b^{1 / 4} (c^{1 / 4} - b^{1 / 4})}{b^{1 / 4} c^{1 / 4} - 1} \cdot \frac{b^{1 / 4} c^{1 / 4} + 1}{b^{1 / 4} c^{1 / 4} + 1}

\frac{b^{1 / 4} (c^{1 / 4} - b^{1 / 4}) (b^{1 / 4} c^{1 / 4} + 1)}{b^{1 / 2} c^{1 / 2} - 1}

\frac{b^{1 / 4} (c^{1 / 4} - b^{1 / 4}) (b^{1 / 4} c^{1 / 4} + 1)}{b^{1 / 2} c^{1 / 2} - 1} \cdot \frac{b^{1 / 2} c^{1 / 2} + 1}{b^{1 / 2} c^{1 / 2} + 1}

\frac{b^{1 / 4} (c^{1 / 4} - b^{1 / 4}) (b^{1 / 4} c^{1 / 4} + 1) (b^{1 / 2} c^{1 / 2} + 1)}{b c - 1}

Commented by hardmath last updated on 28/May/24

thank you dear professor