What is expand x'*(x+1)+x(x+1)^' ?

The solution to expand x'*(x+1)+x(x+1)^' is xx'+x'+x(x+1)^'

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expand x'*(x+1)+x(x+1)^'

expand

x^{'} \cdot (x + 1) + x (x + 1)^{^{'}}

xx' + x' + x (x + 1)^{'}

Solution steps

x^{'} (x + 1) + x (x + 1)^{^{'}}

Expand

x^{'} (x + 1) : x x^{'} + x^{'}

= x x^{'} + x^{'} + x (x + 1)^{^{'}}

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What is expand x'*(x+1)+x(x+1)^' ?
The solution to expand x'*(x+1)+x(x+1)^' is xx'+x'+x(x+1)^'