What is expand (B+!C)(B+C)+!(A+B+!C) ?

The solution to expand (B+!C)(B+C)+!(A+B+!C) is !!B^2CA+!!!B^2BCC+!!BC^2A+!!!BBC^2C

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expand (B+!C)(B+C)+!(A+B+!C)

expand

(B +! C) (B + C) +! (A + B +! C)

!! B^{2} C A +!!! B^{2} BCC +!! B C^{2} A +!!! BB C^{2} C

Solution steps

(B +! C) (B + C) +! (A + B +! C)

= +! (+! BC) (B + C) (A + +! BC)

Expand

(B + C) (A + B +! C) : B A +! B^{2} C + C A +! B C^{2}

= (B +! C) +! (B A +! B^{2} C + C A +! B C^{2})

Expand

(B +! C) +! (B A +! B^{2} C + C A +! B C^{2}) :!! B^{2} C A +!!! B^{2} BCC +!! B C^{2} A +!!! BB C^{2} C

=!! B^{2} C A +!!! B^{2} BCC +!! B C^{2} A +!!! BB C^{2} C

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What is expand (B+!C)(B+C)+!(A+B+!C) ?
The solution to expand (B+!C)(B+C)+!(A+B+!C) is !!B^2CA+!!!B^2BCC+!!BC^2A+!!!BBC^2C