What is expand (A+B^')(A+B+C) ?

The solution to expand (A+B^')(A+B+C) is A^2+AB+AC+AB^'+B^{1+'}+CB^'

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expand (A+B^')(A+B+C)

expand

(A + B^{^{'}}) (A + B + C)

A^{2} + A B + A C + A B^{'} + B^{1 +'} + C B^{'}

Solution steps

(A + B^{^{'}}) (A + B + C)

Distribute parentheses

= AA + A B + A C + B^{^{^{'}}} A + B^{^{^{'}}} B + B^{^{^{'}}} C

= AA + A B + A C + A B^{^{^{'}}} + B B^{^{^{'}}} + C B^{^{^{'}}}

Simplify

AA + A B + A C + A B^{^{'}} + B B^{^{'}} + C B^{^{'}} : A^{2} + A B + A C + A B^{^{'}} + B^{1 +^{'}} + C B^{^{'}}

= A^{2} + A B + A C + A B^{^{'}} + B^{1 +^{'}} + C B^{^{'}}

\frac{( x ^{3} )}{( x - 1 ) ^{2}}

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2 (x + 2 - 2 ln (x + 2))

\frac{2 x + 1}{( x - 2 ) ^{2}}

(e^{2 y} - 1) \cdot (e^{2 x} + 1)

What is expand (A+B^')(A+B+C) ?
The solution to expand (A+B^')(A+B+C) is A^2+AB+AC+AB^'+B^{1+'}+CB^'