1.

Factorize ` 1+x+y-z+xy-yz-zx-xyz`

Answer» We have
` 1+x+y-z+xy-yz-zx-xyz`
`=(1+x+y-z+xy-yz-zx-xyz`
`=(1+x)+y(1+x)-z(1+x)-yz(1+x)`
` = (1+x(1+y-z-yz)`
`= 91+x)xx [(1+xy)-z(1+y)]`
`(1+x)(1+y(1-z)`.


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