The simplified form of the boolean expression (x + y + xy) (x + z) is
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(x+y+xy)(x+z)
=(x+y+xy)(x+z)
=(x)(x)+(x)(z)+(y)(x)+(y)(z)+(xy)(x)+(xy)(z)
=x2y+xyz+x2+xy+xz+yz
=(x+y+xy)(x+z)
=(x)(x)+(x)(z)+(y)(x)+(y)(z)+(xy)(x)+(xy)(z)
=x2y+xyz+x2+xy+xz+yz
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