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Simplify. Express your answer as a single fraction in simplest form. \newline3c44+bc22\frac{3c^4}{4} + \frac{bc^2}{2}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline3c44+bc22\frac{3c^4}{4} + \frac{bc^2}{2}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 44 and 22. The LCM is 44 because 44 is the smallest number that both 22 and 44 can divide into without leaving a remainder.
  2. Make denominators same: Make the denominators the same by multiplying the second fraction by 22\frac{2}{2} to get a common denominator. This gives us 3c44+2bc24.\frac{3c^4}{4} + \frac{2bc^2}{4}.
  3. Add numerators: Add the numerators since the denominators are the same. The final simplified expression is (3c4+2bc2)/4(3c^4 + 2bc^2)/4.

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