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explain how the distributive property and the commutative property of addition are used to the example to show that 2(x+1)+2x is equivalent to 4x + 2

User Blaine
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1 Answer

3 votes

Distributive property:


a(b+c)=ab+ac

Commutative property:


x+y=y+x

So, using the previous properties:


\begin{gathered} 2(x+1)+2x=2\cdot x+2\cdot1+2x \\ \text{add like terms:} \\ (2x+2x)+2 \\ 4x+2\equiv4x+2 \end{gathered}

User DQI
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