anonymous
  • anonymous
Check my answer please? Will medal (posting question below)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
TheCuteOne25
  • TheCuteOne25
what is the question
anonymous
  • anonymous
\[(3x ^{3}-7x ^{2}+12)-(3x ^{3}+6x ^{2}+10x)\] Simplify
anonymous
  • anonymous
I think it is \[-6x ^{3}+x ^{2}-10x-12\]

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FortyTheRapper
  • FortyTheRapper
I got something different. What was the first step you did?
anonymous
  • anonymous
I guessed this one out of the choice I had. You want me to how you the other choice @FortyTheRapper
FortyTheRapper
  • FortyTheRapper
We can work it out if you want. It's probably 2... 3 steps at the most
anonymous
  • anonymous
Yes please! I need to learn how to do these
FortyTheRapper
  • FortyTheRapper
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
  • anonymous
Distribute that invisible negative one?
FortyTheRapper
  • FortyTheRapper
Yeah
anonymous
  • anonymous
So itll be -3x^3-6x^2-10x
FortyTheRapper
  • FortyTheRapper
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
  • anonymous
Yup one second
anonymous
  • anonymous
Just to make sure I would be multiplying 3x^3*3x^3?
FortyTheRapper
  • FortyTheRapper
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
  • anonymous
ok
anonymous
  • anonymous
They cancel each other out right?
FortyTheRapper
  • FortyTheRapper
Right! It turns into 3x^3 - 3x^3 since a +(-) makes a -
anonymous
  • anonymous
Right and then what would I do?
FortyTheRapper
  • FortyTheRapper
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
  • anonymous
yeah 7x^2 and -6x^2
FortyTheRapper
  • FortyTheRapper
Nice! So let's add those (7x^2) + (-6x^2)
anonymous
  • anonymous
85?
FortyTheRapper
  • FortyTheRapper
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
  • anonymous
ohh so its 1
FortyTheRapper
  • FortyTheRapper
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
  • anonymous
Thats it
FortyTheRapper
  • FortyTheRapper
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
  • anonymous
Yes that makes perfect sense
FortyTheRapper
  • FortyTheRapper
Awesome! Glad I could help!
anonymous
  • anonymous
You are a life saver! Thank you so much!!!

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