Great question! Its because we're not simply adding y² s together, we have other numbers and variables attached to them. Remember, to add or subtract monomials, you need the same variables AND the same exponent on those variables. So the final answer I had was: 6xy² + 7x²y² If this were 6y² + 7y², I could add them as 13y² If this were 6xy + 7xy, I could add them as 13xy If this were 6x²y² + 7x²y², I could them as 13x²y² Notice we can add them when they have all the same variables AND exponents. But the final answer was 6xy² + 7x²y² and xy² is Not the same as x²y², which is why we can't add them. We can't even add y and y² For example, if you thought, y+y² = y³, plug in a number for y and see if the equation works: let's assume y= 5 5+5² = 5³ 5+25 = 125 30 = 125 As you can see, the equation isn't balanced, which is why we can't add variables with different exponents, which is why we can't add xy² and x²y² together. I hope that helps! 🙏
That's really cool that you can learn this in either language! I'm Hispanic and speak Spanish but I would still find learning math terms in more than 1 language kind of difficult 😅 but kudos to you and I'm glad it was helpful! 🙏
Great question! Yes, only add them when you multiply. And only subtract them when you divide. Other than that, when you're just adding or subtracting, they stay them same 👍
7z^5 and 4z^5 both have the same variable, and the same exponent on that variable. So to add or subtract them, you just have to focus on the numbers (coefficients): 7z^5 + 4z^5 = 11z^5 and 7z^5 - 4z^5 = 3z^5 Hope that helps 👍
Great question, but i think you're mixing up your rules of addition/subtraction and multiplication/division. When you add/subtract exponents, they should stay the same. Wheb you multiply/divide exponents, you add or subtract them. So to add 2xy² + 4xy² the exponents should stay the same which is why the answer is 6xy² But if we were multiplying, you'd add the exponents (and combine like terms) So 2xy² * 4xy² 2*4=8 x*x=x² y²*y²=y⁴ So all together it's = 8x²y⁴ I hope that helps but let me know if you still have questions! 👍
@bradleson509 Good question! When adding or subtracting, the variables stay the same. When multiplying or dividing, the variables and exponents can change. Here, we're adding. So it's kind of like saying, what's 5 apples + 7 apples? 12 apples Not 12 apples² However, when you're multiplying, then yes you need to multiply the numbers AND the variables so: 5x*7x The numbers: 5*7=35 The variables: x*x=x² So combined = 35x² Hope that helps 👍
Missed school today, helped learn this lesson 10 times faster than I would’ve in class, thank you very much
Lmao you're welcome, I'm glad I could save you some time 🙏
I am watching this as i am doing my exam, you saved me in less then 8 minutes.
LOL so glad I could help! Hope you crushed that exam like a friggin genius 😎
This is very helpful ty 😊 keep it up!
I will, thank you very much! 😄
I thank very much for teaching me
i am so confused and i need help, why could you not add the two y^2 i don't understand how that is the final answer 5:31
Great question! Its because we're not simply adding y² s together, we have other numbers and variables attached to them. Remember, to add or subtract monomials, you need the same variables AND the same exponent on those variables.
So the final answer I had was:
6xy² + 7x²y²
If this were 6y² + 7y², I could add them as 13y²
If this were 6xy + 7xy, I could add them as 13xy
If this were 6x²y² + 7x²y², I could them as 13x²y²
Notice we can add them when they have all the same variables AND exponents.
But the final answer was 6xy² + 7x²y² and xy² is Not the same as x²y², which is why we can't add them.
We can't even add y and y²
For example, if you thought, y+y² = y³, plug in a number for y and see if the equation works: let's assume y= 5
5+5² = 5³
5+25 = 125
30 = 125
As you can see, the equation isn't balanced, which is why we can't add variables with different exponents, which is why we can't add xy² and x²y² together.
I hope that helps! 🙏
Thank you so much,you are very helpful and good at teaching
That's incredibly nice of you! And you're welcome, I'm glad I could help! 🙏
Thanks dude! Super behind on math stuff due to rough mental health. Will definitely be using videos by you to help catch up! God bless
It's awesome you're pushing through, I'm rooting for you! 💪
And I'm glad the content is helpful, I'm always around if you have any questions 👍
So helpful!! Keep it up king 👑!!
LOL I'm glad I could help! 😄
This was very helpful. Keep it up
That's great to hear! And I definitely will thank you 😃
Thank you - very well explained
You're welcome, glad it was helpful!
I loved your explanation.brilliant sir..
Im glad it made sense :D
And that's very kind of you, thank you!
Tysm 🍀✨love the way u explain
You're very welcome, I'm glad it's making sense! 😃
I think I understand this more compared to the Italian version which they call monomi
At the end I found this very useful tnks amico
That's really cool that you can learn this in either language! I'm Hispanic and speak Spanish but I would still find learning math terms in more than 1 language kind of difficult 😅 but kudos to you and I'm glad it was helpful! 🙏
Thank you. This is very helpful.
That's great to hear! I'm glad I could help :D
at first i did not understand but now i do so thank you so much
I'm so glad to hear it makes sense now! :D
Thank you for your help these is so helpful
I'm so glad to hear that, and you are so welcome!
God bless you
🙏
thx bro you helped me a lot
No way you're in here dabbing 😂😭 but thats great to hear! Lol
I have a test on this tomorrow thanks for this
I'm glad I could help, good luck on your test! Kill it you friggin genius 😎
THANKS S0 MUACH YOU HELPEED ME GET AN A ON MY EXAM !!!
That's amazing to hear, great job! I'm glad I could help 🙏
thank you i have a final tommorow and i know nothing this helped so much
I'm glad it helped and go crush that final like a friggin genius! 😎
thnaks mr you saved my life ihave test tommorow
Youre going to crush that test you friggin genius 😎 and good luck!
So do you only add the exponents in multiplication? Because I thought the last answer would be -7a^6
Great question! Yes, only add them when you multiply. And only subtract them when you divide.
Other than that, when you're just adding or subtracting, they stay them same 👍
@@Eat_Pi Thank you :)
Thanks po!
Welcome Shorwin!
But what if the question is (7z⁵ , 4z⁵)?
7z^5 and 4z^5 both have the same variable, and the same exponent on that variable.
So to add or subtract them, you just have to focus on the numbers (coefficients):
7z^5 + 4z^5 = 11z^5
and
7z^5 - 4z^5 = 3z^5
Hope that helps 👍
Thank u it helped me in my test 😭
That's awesome I'm glad to hear that!! 😁
Shouldn't it be 6xy^4 (because exponent rules apply)
Great question, but i think you're mixing up your rules of addition/subtraction and multiplication/division.
When you add/subtract exponents, they should stay the same.
Wheb you multiply/divide exponents, you add or subtract them.
So to add 2xy² + 4xy² the exponents should stay the same which is why the answer is 6xy²
But if we were multiplying, you'd add the exponents (and combine like terms)
So 2xy² * 4xy²
2*4=8
x*x=x²
y²*y²=y⁴
So all together it's = 8x²y⁴
I hope that helps but let me know if you still have questions! 👍
thanksss
You're welcome!
Ty, used this to study before my test tommorow
Goodluck! You're gonna kill that test tomorrow u friggin genius 😎
but why isnt 5x+7x not equal to 12x²? i thought it worked that way but tysm for the explanation❤
@bradleson509 Good question! When adding or subtracting, the variables stay the same. When multiplying or dividing, the variables and exponents can change.
Here, we're adding. So it's kind of like saying, what's 5 apples + 7 apples?
12 apples
Not 12 apples²
However, when you're multiplying, then yes you need to multiply the numbers AND the variables so:
5x*7x
The numbers: 5*7=35
The variables: x*x=x²
So combined = 35x²
Hope that helps 👍
@@Eat_Pi ohhhh, okay tysm i really needed that help♥️
I can do my homework without help
This is like a challenge to me, i like facing numbers letters exponents, this is to easy •_•
That's great to hear I'm glad its making sense :D
thank you po gagords
you're very welcome!