Simplification of boolean expressions

Question

Question 1 $$\begin{align*}A'BC + AB'C + ABC + A'B'C' &=A'B C + B' C (A +A') + ABC\\ &=A'B + C + B'C + ABC \end{align*}$$

Question 2 $$\begin{align*}A'B + B'C + CB &=A'B + C(B +B')\\ &=A'B + C \end{align*}$$

are these correct?

Answer 1

For question 1, you seem to have misread $A'B'C'$ as $A'B'C$; even then, your simplification is incomplete. Correct would be (using that $ABC + ABC = ABC$):

\begin{align} A'BC + AB'C + ABC + A'B'C' &= (A'+A)BC + (B+B')AC + A'B'C'\\ &= BC + AC + A'B'C' \\ &= (A+B)C + A'B'C' \end{align}

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Question 2 is correct.