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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply FOIL method:

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

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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