Using the laws of Boolean algebra, prove that $xy+z(x'+y') = xy+z$
can prove it using truth table and K-map. I am yet to find a way to solve it using boolean algebra.
2026-03-31 10:10:24.1774951824
Using boolean algebra laws, prove the equation, $xy+z(x'+y') = xy+z$
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$$\begin{align}xy+z(x'+y') &=xy+z\,(xy)' &&\text{de Morgan's Rule}\\&=(xy+z)\,(xy+(xy)')&&\text{Distribution + over $\cdot$}\\&=(xy+z)\,(1)&&\text{Complement}\\&=xy+z&&\text{Identity}\end{align}$$