\(\frac{2}{9x^3} + \frac{5}{3x}\)
Find the LCD .
Factor each denominator into its primes
9 = 3²
Find the least common denominator 3²x³ = 9 x³
Adjust fractions based on the LCD:
\(\frac{2}{9x^3} + \frac{5*3x^2}{9x^3}\)
Since the denominators are equal, combine the fractions :
\(\frac{2+3*5x^2}{9x^3}\)
Simplify 2+35x²
multiply the numbers : 3 5 = 15
2 + 15 x²
\(= \frac{2+15x^2}{9x^3}\)
hope this helps!