name the property of real numbers illustated by the equation -4(x+4)=-4x-16
Accepted Solution
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Answer:The given expression -4( x + 4 ) = -4 x - 16 illustrates the DISTRIBUTIVE PROPERTYStep-by-step explanation:DISTRIBUTIVE PROPERTY:This property states that if we multiply a number with sum of two number, it is equivalent to multiplying the number separately with two numbers and adding them.⇒ A ( B + C) = A B + A CHere, -4( x + 4 ) = -4x - 16Simplifying Left side with distributive property, we get-4( x + 4 ) = -4(x) + (-4)(4) = -4x - 16 = Right SideHence, the given expression -4( x + 4 ) = -4 x - 16 illustrates the DISTRIBUTIVE PROPERTY