Compute the following: $\begin{bmatrix} a^2 + b^2 & b^2 + c^2 \\ a^2 + c^2 & a^2 + b^2 \end{bmatrix} + \begin{bmatrix} 2ab & 2bc \\ -2ac & -2ab \end{bmatrix}$

  • A
    $\begin{bmatrix} (a+b)^2 & (b+c)^2 \\ (a-c)^2 & (a-b)^2 \end{bmatrix}$
  • B
    $\begin{bmatrix} (a+b)^2 & (b+c)^2 \\ (a+c)^2 & (a+b)^2 \end{bmatrix}$
  • C
    $\begin{bmatrix} (a-b)^2 & (b-c)^2 \\ (a-c)^2 & (a-b)^2 \end{bmatrix}$
  • D
    $\begin{bmatrix} (a+b)^2 & (b-c)^2 \\ (a-c)^2 & (a+b)^2 \end{bmatrix}$

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