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If (3x – 2y) : (2x + 3y) = 5 : 6, then one of the values of 
³√x + ³√y 
2 is ³√x - ³√y
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1 5
- 5
- 25
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1 25
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Correct Option: C
| ∴ | = | |||
| 3x - 2y | 6 |
⇒ 18x – 12y = 10x +15y
⇒ 18x – 10x = 12y + 15y
⇒ 8x = 27y
| ⇒ | = | |||
| y | 8 |
On taking cube root of both sides,
| = | = | ||||
| ³√y | ³√8 | 2 |
By componendo and dividendo,
| = | = | ||||
| ³√x - ³√y | 3 - 2 | 1 |
On squaring both sides,
| ⇒ | | | 2 | = 5 × 5 = 25 | ||
| ³√x - ³√y |
