A) \[x+y\]
B) \[x\cdot y\]
C) \[x'+y\]
D) \[x\cdot y'\]
Correct Answer: B
Solution :
\[(x+y)\cdot (x+y')\cdot (x'+y)\] \[=\{(x+y)\cdot (x+y')\}\cdot (x'+y)\] (By using associative law of multiplication) \[=\{x+(y.y')\}\cdot (x'+y)\] \[=(x+0)\cdot (x'+y)=x\cdot (x'+y)\] \[=(x\cdot x')+(x\cdot y)\] \[=0+(x\cdot y)=x\cdot y\]You need to login to perform this action.
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