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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = A, b = B^{^{'}}, c = A, d = C

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

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

AA = A^{2}

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

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Frequently Asked Questions (FAQ)

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