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Answer:
=> (x³+12x+6x^2+8)/(x³+12x-6x^2-8) = (y³+27y+9y²+27)/ (y³+27y-9y²-27)
The numerators are in the form
(a³+b³+3a²b+3ab²) and denominators are in the form (a³- b^3 -3a²b+3ab²).
=> [a³+b³+3a²b+3ab² = (a+b)³] and
[a³-b³-3a²b +3ab² = (ab)³]
=> (x+2) ³/(x-2)³ = (y+3)³/(y-3)³
→ take cube root on both sides we get,
=> (x+2)/(x-2) = (y+3)/(y-3)
Again apply componendo and dividendo rule!
=>(x+2+x-2)/(x+2-x+2)=(y+3+y-3)/(y+3-y +3)
=> 2x/4 = 2y/6
=> x/2= y/3
=> x/y = 2/3
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2
Answer:
Option A 2:3
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