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KCET2009MathematicsTrigonometric Ratios & Identities

3( x- x)⁴+6( x+ x)²+4 ( ⁶ x+ ⁶ x ) is equal to

Options

  1. A12
  2. B13
  3. C14
  4. D11

Correct answer

B. 13

Step-by-step solution

3( x- x)⁴+6( x+ x)²+4 ( ⁶ x+ ⁶ x )=3(1-2 x x)²+6(1+2 x x) +4 ( ² x+ ² x ) ( ⁴ x+ ⁴ x . . - ² x ² x )=3 [1+4 ² x ² x-4 x x ] +6+12 x x+4 [ ( ² x+ ² x )² . . -2 ² x ² x- ² x ² x ]

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