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Simplify. Express your answer as a single fraction in simplest form. \newline12−7p2q25\frac{1}{2} - \frac{7p^2q^2}{5}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline12−7p2q25\frac{1}{2} - \frac{7p^2q^2}{5}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 22 and 55. The LCM is 1010.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 55 and the second fraction by 22. This gives us 1×52×5−7p2q2×25×2\frac{1\times 5}{2\times 5} - \frac{7p^2q^2\times 2}{5\times 2}, which simplifies to 510−14p2q210\frac{5}{10} - \frac{14p^2q^2}{10}.
  3. Simplify expression: Simplify the expression by subtracting the numerators since the denominators are the same. The final simplified expression is (5−14p2q2)/10(5 - 14p^2q^2)/10.

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