Question

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

Answer 1

Answer:

40x

Step-by-step explanation:

You just add the two together

10x + 30x

Answer 2

Answer:

See below.

Step-by-step 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!