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Evaluate
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Differentiate w.r.t. x
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\frac{8\times 2}{18x}+\frac{5\times 3}{18x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9x and 6x is 18x. Multiply \frac{8}{9x} times \frac{2}{2}. Multiply \frac{5}{6x} times \frac{3}{3}.
\frac{8\times 2+5\times 3}{18x}
Since \frac{8\times 2}{18x} and \frac{5\times 3}{18x} have the same denominator, add them by adding their numerators.
\frac{16+15}{18x}
Do the multiplications in 8\times 2+5\times 3.
\frac{31}{18x}
Do the calculations in 16+15.