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AP EAMCET201822 Apr 2018Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If ( 4 + y 2 )= ^3 ( 4 + x 2 ) then 3 x+ ^3 x 1+3 ^2 x =

Options

  1. A0
  2. B1
  3. C2 y
  4. Dy

Correct answer

D. y

Step-by-step solution

aligned & Given, ( 4 + y 2 )= ^3 ( 4 + x 2 ) & 1+ y 2 1- y 2 = ( 1+ x 2 1- x 2 )^3 & y 2 + y 2 y 2 - y 2 = ( x 2 + x 2 x 2 - x 2 )^3 aligned On squaring both sides, we are getting 1+ y 1- y = ( 1+ x 1- x )^3 On applying componentdo and dividendo rule array ll & 2 2 y = (1+ x)^3+(1- x)^3 (1+ x)^3-(1- x)^3 & y= 3 x+ ^3 x 1+3 ^2 x So, & 3 x+ ^3 x 1+3 ^2 x = y array

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