In a $\triangle ABC$,$(a-b)^2 \cos^2 \frac{C}{2} + (a+b)^2 \sin^2 \frac{C}{2}$ is equal to

  • A
    $a^2$
  • B
    $c^2$
  • C
    $b^2$
  • D
    $a^2+b^2$

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