1)

Verify each of the identities below using algebraic manipulation. (That is, transform one side of the equation into the other using Boolean Algebra.)

x(x+y+z)=xy+xz (a+b+c+d)(a+b+cd)=ab (a+b+c)(a+b+c)=a+c (x+w)(x+z)(z+w)=(x+z+wz de+ef+df=de+df