x*y+x^*z+y*z express in boolean algebra
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As stated in the title, I'm trying to simplify the following expression: +′+′′
x
y
+
x
y
′
z
+
x
′
y
z
′
I've only gotten as far as step 3:
+′+′′
x
y
+
x
y
′
z
+
x
′
y
z
′
=(+′)+′(′)
=
x
(
y
+
y
′
z
)
+
x
′
(
y
z
′
)
=(+′)+(′+)
=
x
(
y
+
y
′
z
)
+
x
(
y
′
+
z
)
But I don't know where to go from this step, I'm not sure if I'm allowe to rewrite y'z as y+z' (I'm not even sure if that would help)
x
y
+
x
y
′
z
+
x
′
y
z
′
I've only gotten as far as step 3:
+′+′′
x
y
+
x
y
′
z
+
x
′
y
z
′
=(+′)+′(′)
=
x
(
y
+
y
′
z
)
+
x
′
(
y
z
′
)
=(+′)+(′+)
=
x
(
y
+
y
′
z
)
+
x
(
y
′
+
z
)
But I don't know where to go from this step, I'm not sure if I'm allowe to rewrite y'z as y+z' (I'm not even sure if that would help)
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