[tex] \frac{2}{9x^3} + \frac{5}{3x} [/tex]
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:
[tex] \frac{2}{9x^3} + \frac{5*3x^2}{9x^3} [/tex]
Since the denominators are equal, combine the fractions :
[tex] \frac{2+3*5x^2}{9x^3} [/tex]
Simplify 2+3*5x²
multiply the numbers : 3 * 5 = 15
2 + 15 x²
[tex] = \frac{2+15x^2}{9x^3} [/tex]
hope this helps!
