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Simplify. Express your answer as a single fraction in simplest form. \newlinest52−s44\frac{s t^{5}}{2} - \frac{s^{4}}{4}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinest52−s44\frac{s t^{5}}{2} - \frac{s^{4}}{4}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 22 and 44. The LCM is 44.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 22. This gives us 2×st54−s44\frac{2 \times s t^{5}}{4} - \frac{s^{4}}{4}.
  3. Write with common denominator: Write the expression with a common denominator. The combined expression is (2st5−s4)/4(2st^5 - s^4)/4.
  4. Check for simplification: Check if the expression can be simplified further. Since there is no common factor in the numerator that can be canceled with the denominator, the expression is already in its simplest form.

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