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How can we use the distributive property to show that 10x + 30x is equivalent to 40x? Explain.

User Binh Tran
by
4.8k points

2 Answers

4 votes

Answer:

40x

Explanation:

You just add the two together

10x + 30x

User Passiday
by
5.2k points
2 votes

Answer:

See below.

Explanation:

We want to show that:


10x+30x=40x

Using the distributive property.

To do so, let's take a look at our original expression:


10x+30x

From here, we can factor out a x. In other words, we un-distribute, the reversing the distribute property. This yields:


=x(10+30)

If we distribute again, we'll get the same thing.

From here, let's add within the parentheses...


=x(40)

And multiply:


40x

This gets the desired result.

And we're done!

User Gurleen Sethi
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5.1k points