Correct Answer - Option 1 : 16 : 27
Given :
\(\frac{a}{b} = \frac{2}{3} \)
Calculation:
a = 2
b = 3
Substitute the values in the equation
⇒ (5 × 23 − 2 × 22 × 3) : (3 × 2× 32− 33) = (40 - 24) : (54 - 27)
⇒ (40 - 24) : (54 - 27) = 16 : 27
∴ The value of (5a3 − 2a2b) : (3ab2 − b3) is 16 : 27