At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

5

6

Not a number. It's a variable to a power.

|dw:1435094377519:dw|

m^3 and m^2 have m^2 in common.

Then we see what n^2 and n^1 have in common.
|dw:1435094442799:dw|
n^2 and n^1 have n in common.

That means the GCF of the two terms is 5m^2n

how did you get 2 from

The common factor is
\(\large 5m^2n\)
The 2 is the exponent of the m.

ok

\(\large 10m^3n^2-15m^2n^1\)
Now we factor out the GCF:
\(\large =5m^2n(~~~~~~~~~~~~~~)\)

how? i dont know i am so confused

what gcf

\(\large =5m^2n(2mn - 3)\)

where are you getting the 2 and 3

Factoring is the opposite of the distributive property.

i dont get it

Let me go back a few steps and show a simple example.
Do you know the distributive property?

what?

Use the distributive property to simplify this expression:
\(2(3 + 5)\)

11 i think

|dw:1435095136526:dw|

Here is another example:
|dw:1435095244847:dw|

ok

but how does that help with factoring.

Factoring is doing the distributive property in reverse.

Here is an example of the distributive property using variables.
|dw:1435095365764:dw|

ok

We went from a product of a variable, m, and a binomial, 2m + n,
to a result, \(2m^2 + mn\)

This is the problem we have now:
|dw:1435095505073:dw|

First, we find the greatest common factor of the two terms.

|dw:1435095568553:dw|

Now we take the problem, and we do the distributive property in reverse.

|dw:1435095685363:dw|

|dw:1435095737610:dw|

|dw:1435095761968:dw|

|dw:1435095800516:dw|

i dont get it. it like my brain is stuck.

This is the answer:
|dw:1435095820650:dw|

where did you get THAT HOW PROB ELM THE 2M THING.

Go over this a few times. Sometimes after you go over something a few times you begin to understand.

|dw:1435096046142:dw|