Given,
A = x (y′ + z′)
= xy′ + xz′
To express as a complete sum-of-products, expand using all variable combinations:
= xy′(z + z′) + xz′(y + y′)
= xy′z + xy′z′ + xyz′ + xy′z′
After simplification, duplicate terms are removed:
A = xyz′ + xy′z + xy′z′
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