Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 months ago

(Boolean Algebra) Prove that xy + xy = (x+y)(x+y )?

Update:

Prove that xy + xy' = (x+y)(x+y' )

Update 2:

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  • Ash
    Lv 7
    3 months ago
    Best Answer

    LHS = xy + xy'

    = x(y + y') ..........distributive law

    = x(1)

    = x

    RHS = (x+y)(x+y' )

    = x+(yy') ...........distributive law

    = x+(0) .............complement law

    = x

    LHS = RHS

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