Correct Answer - Option 2 : 16 ∶ 27
Given:
\(\dfrac{a}{b}=\dfrac{2}{3}\)
Calculation:
Let the value of A be 2x
And the value of B be 3x
According to the question:
5a3 - 2a2b ∶ 3ab2 - b3
⇒ [5 × (2x)3 - 2 × (2x)2 × 3x : [3 × 2x × (3x)2 - (3x)3]
⇒ (5 × 8x3 - 2 × 4x2 × 3x) : (3 × 2x × 9x2 - 27x3)
⇒ (40x3 - 24x3) : (54x3 - 27x3)
⇒ 16x3 : 27x3 = 16 : 27
∴ The answer will be 16 : 27.