How can we use the distributive property to show that 10x + 30x is equivalent to 40x? Explain.
2 answers:
Answer:
See below.
Step-by-step explanation:
We want to show that:
Using the distributive property.
To do so, let's take a look at our original expression:
From here, we can factor out a x. In other words, we <em>un-distribute</em>, the reversing the distribute property. This yields:
If we distribute again, we'll get the same thing.
From here, let's add within the parentheses...
And multiply:
This gets the desired result.
And we're done!
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