Given Boolean theorem AB + A C + BC = AB + A C which of the following is true?

• A. (A + B) (A + C) (B + C) = (A + B) (A + C)
• B. AB + A C + BC = AB + BC
• C. AB + A C + BC = (A + B) (A + C) (B + C)
• D. (A + B) (A + C) (B + C) = AB + A C