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Check my answer please?  Will medal
(posting question below)

thecuteone25 · Answer

what is the  question

anonymous · Answer

$$(3x ^{3}-7x ^{2}+12)-(3x ^{3}+6x ^{2}+10x)$$

Simplify

anonymous · Answer

I think it is $$-6x ^{3}+x ^{2}-10x-12$$

fortytherapper · Answer

I got something different.
What was the first step you did?

anonymous · Answer

I guessed this one out of the choice I had. You want me to how you the other choice @FortyTheRapper

fortytherapper · Answer

We can work it out if you want. It's probably 2... 3 steps at the most

anonymous · Answer

Yes please! I need to learn how to do these

fortytherapper · Answer

Ok, so we have 

(3x3−7x2+12)−(3x3+6x2+10x)

Step 1.) Distribute the negative

Would you happen to know how to distribute the negative into the (3x^3 + 6x^2 + 10x)?

anonymous · Answer

Distribute that invisible negative one?

fortytherapper · Answer

Yeah

anonymous · Answer

So itll be -3x^3-6x^2-10x

fortytherapper · Answer

Perfect!

So now we have 

3x^3−7x^2+12−3x^3-6x^2-10x

Step 2.) Combine like terms. Do you know how to find which terms are alike?

anonymous · Answer

Yup one second

anonymous · Answer

Just to make sure I would  be multiplying 3x^3*3x^3?

fortytherapper · Answer

When you combine like terms, you only use addition

So for the ^3 like terms, you identified them as the 3x^3 and the -3x^3, right?

So you would do (3x^3) + (-3x^3)

anonymous · Answer

ok

anonymous · Answer

They cancel each other out right?

fortytherapper · Answer

Right! It turns into 3x^3 - 3x^3 since a +(-) makes a -

anonymous · Answer

Right and then what would I do?

fortytherapper · Answer

Alright, so they canceled out, so those are gone. No more ^3

Next is finding the like terms of ^2, do you see those?

anonymous · Answer

yeah 7x^2 and -6x^2

fortytherapper · Answer

Nice! So let's add those

(7x^2) + (-6x^2)

anonymous · Answer

85?

fortytherapper · Answer

You want to add these two terms together. A +(-) equals a negative, right?

So it's 7x^2 - 6x^2. Now when you subtract these two things, you only subtract the whole numbers and leave the X^2 alone. What would you get then?

anonymous · Answer

ohh so its 1

fortytherapper · Answer

Yep, then you leave the x^2 alone, so you get 1x^2, also known as just x^2

Now do you see anymore like terms, or is that is?

anonymous · Answer

Thats it

fortytherapper · Answer

Right!

So let's take the -10x and the +12 and have it be as it is

We then make our new equation

x^2 - 10x +12 would be the simplified version

That make sense on how it was made?

anonymous · Answer

Yes that makes perfect sense

fortytherapper · Answer

Awesome! Glad I could help!

anonymous · Answer

You are a life saver! Thank you so much!!!