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Popular >

expand (a*b'+c)(a+b)

Solution

expand

(a \cdot b^{'} + c) (a + b)

Solution

a^{2} b' + abb' + a c + b c

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 + c b

= aa b^{^{'}} + ab b^{^{'}} + a c + b c

aa b^{'} = a^{2} b^{'}

= a^{2} b^{^{'}} + ab b^{^{'}} + a c + b c

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Frequently Asked Questions (FAQ)

What is expand (a*b'+c)(a+b) ?
The solution to expand (a*b'+c)(a+b) is a^2b'+abb'+ac+bc