(X+Y’)(X+Z) can be represented by _____*(X+Y’Z)(Y+X’)XY’(X+Z’)

The given expression is in Boolean algebra, which is used in digital logic. However, the question seems to be incomplete or incorrectly formatted. The phrase "can be represented by _____" suggests that there should be a specific Boolean expression to fill in the blank, but the rest of the question doesn't provide a clear context for what that expression should be.

If you're looking for a simplification of the expression "(X+Y’)(X+Z)", you can use the distributive law to expand it:

(X+Y’)(X+Z) = XX + XZ + Y’*X + Y’*Z = X + XZ + Y’X + Y’Z

Then, you can use the idempotent law (X*X = X) and the commutative law (Y’X = XY’) to simplify it further:

X + XZ + Y’X + Y’Z = X + XZ + XY’ + Y’Z

However, without additional information, it's not clear how this expression relates to the rest of the question. Could you please provide more details or clarify your question?

The given expression is in Boolean algebra, which is used in digital logic. However, the question seems to be incomplete or incorrectly formatted. The phrase "can be represented by _____" suggests that there should be a specific Boolean expression to fill in the blank, but the rest of the question doesn't provide a clear context for what that expression should be.

If you're looking for a simplification of the expression "(X+Y’)(X+Z)", you can use the distributive law to expand it:

(X+Y’)(X+Z) = XX + XZ + Y’*X + Y’*Z = X + XZ + Y’X + Y’Z = X(1 + Z + Y') + Y’Z = X + Y’Z

However, without further information or context, it's not possible to provide a more specific or accurate answer. Please provide the complete and correct question.