展开 (A+B)*B^'

解答

展开

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

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

求解步骤

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

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

使用分配律:

a (b + c) = ab + a c

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

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

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

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

B B^{^{'}} = B^{1 +^{'}}

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

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