Step-by-step explanation:
find the product (xy+z)(xy-z)
= xy(1) + xy'z + x'yz'
= xy(z+z') + xy'z + x'yz'
= (xyz + xyz') + xy'z + x'yz'
= (xyz + xy'z) + (xyz' + xyz') = xz(y+y') +yz'(x + x')
= xz(1) + yz' (1)
= xz+yz
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Answers & Comments
Step-by-step explanation:
find the product (xy+z)(xy-z)
= xy(1) + xy'z + x'yz'
= xy(z+z') + xy'z + x'yz'
= (xyz + xyz') + xy'z + x'yz'
= (xyz + xy'z) + (xyz' + xyz') = xz(y+y') +yz'(x + x')
= xz(1) + yz' (1)
= xz+yz