Partial Fractions with a Repeated Factor

A Level Maths revision tutorial video.

[amadif]

I was so confused about partial fractions until I watched this video, thanks so much!!

[sethmuange]

Thanks, I wasn't understanding partial fractions but now I do

[murwaomar]

at 1:40 why isnt it A (x+2)(x+2)^2 + B (x+1)(x+2)^2 + C (x+1)(x+2)

[d_swami]

It's the best explanation available.

[resiniabeysekera]

this made me clear more than he school did . thank you so much sir.

[JonathanMalambo-odjy]

Thk yo straight away a plus student 😊😊

[misan]

How do i figure out that there would be an x-1 term and not just (x-1)²

[abimbolaajayi]

Thank you so much
God bless you for this.
It was really helpful 👍🥰💞💜❤

[PaulJackson]

Why do you have to do this for repeated terms?

[henryash]

0:45
If we must account for potentially having a "B term" where there is a fraction with the denominator (x+2), then why do we not also account for potentially having a "D term" where there is a fraction with the denominator (x+2)(x+1).

Original denominator: (x+1)(x+2)^2
Surely there are 4 factors to this denominator in the original fraction:

Factors:
(x+1) Which was your "A term"
(x+2) Which was your "B term"
(x+2)^2 Which was your "C term"
(x+1)(x+2) Which I am wondering why wasn't it your "D term"??!

Surely (x+1)(x+2) is also a factor of the denominator and could be a denominator of a partial fraction?
I am sure I am missing something here :/ plz help.

[yazidsherifa]

Thank you very much 🙏❤️ that was awesome 💕

[_mohammadmohibulhaque]

This method won't work if there is a x term multiplied in the denominator??

[misan]

How do we know there might be a b term? X+2 is not a factor of x+1
Please respond, please, i iust need this explanation

[giselindeanguwo]

I don't understand why we are cancelling the A and B at 12:25 😭😭😭

[are_radrole]

i still dont get why you have to take away sixteen 2:14

[DaryllDixonnn]

I tried this method for my question that is 1/(s-3)^2X(s^2-7s+12) can you help me