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If \(\frac{a}{b} = \frac{2}{3}\),then the value of is: (5a3 − 2a2b) : (3ab2 − b3) is :
1. 16 : 27
2. 32 : 29
3. 34 : 19
4. 27 : 16

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Best answer
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 × 2× 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

 

 

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