Partial Fractions: Repeated Factor in denominator

Simple partial fractions example with a squared linear factor & one other factor in the denominator

[@II-df6dw]

Recently started Advanced Higher maths and this variation of Partial Fractions was poorly explained by our teacher. Thank you!

[@MathsWithJay]

Happy to help!

[@pranavabhinayguptavankayal5383]

thank you soo much mam , i was struggling to understand it , thanks a million to help me to understand this topic

[@MathsWithJay]

You are most welcome - it's great to know that this was so useful for you.

[@kingfayaiz44]

I Didn't understand the equating thing but u made me understand thanks. :)

[@MathsWithJay]

Glad it helped!

[@X1nleen]

This was so helpful THANK YOUU❤❤❤

[@MathsWithJay]

No problem 😊

[@starboii568]

thank you and God bless you!!!!!!!!

[@MathsWithJay]

You are so welcome

[@marius.1337]

Thank you so much. Perfect timing.

[@MathsWithJay]

@Marius: Perfect!

[@user-no8hj4ns3t]

Thank you for explaining it, now i understand

[@MathsWithJay]

Glad it helped!

[@misan2002]

How do we know that? 0:35

[@MathsWithJay]

The simplest way to understand this, is to look at a simpler example: ua-cam.com/video/g0eFjeUYx7I/v-deo.html

[@moezjadran6720]

Thank you so much !

[@MathsWithJay]

You're welcome!

[@rupertwatts2200]

why isn't it a linear expression above (x-1)^2?

[@MathsWithJay]

Because we also have A over (x - 1)

[@KamilsView]

I wish I could understand half of that :-)

[@MathsWithJay]

@Kamil: Well it is for A'level maths! Thank you for commenting.

[@kingfayaiz44]

@@MathsWithJay well it is our cls 9 math

[@bhulakshmib1324]

Why does A multiply with x-1 and 2x+3 but not x-1²

[@MathsWithJay]

Think about what happens when you add the fractions

[@thuglifevedios3770]

Thank you so much mam this is very useful for us

[@MathsWithJay]

Most welcome 😊

[@TillRiedell]

you're saving me on my process controls homework rn 🥲

[@MathsWithJay]

Excellent!

[@efoloria4194]

Thank you

[@MathsWithJay]

You're welcome

[@MrSteveHageman]

Thanks a lot!

[@MathsWithJay]

You're welcome!

[@mandyzhu4790]

Thank You So Much

[@MathsWithJay]

You're most welcome

[@magnuschristensen2593]

how does 25/4 become -6

[@MathsWithJay]

At what time in the video?

[@ANUSH_STUDIO_]

Nice nice ❤️

[@MathsWithJay]

Thanks 🤗

[@dakshkaushik11a77]

Thankssz , HOPE YOU'LL BE IN INDIA TO TEACH US💖

[@MathsWithJay]

You're welcome! I've no plans to visit India...

[@Willicle]

Thanks

[@MathsWithJay]

No problem

[@Salgandarin]

why is B denominator squared?

[@MathsWithJay]

Because the original fraction has (x - 1)^2

[@Salgandarin]

@@MathsWithJay Yes but the original does not have (x - 1) and that was used in your working :s

[@zaynmehrali9096]

When you have a repeated factor like (x-1)^2, you have to use (x-1) as well as (x-1)^2. This is also why you have an extra constant (in this case C) in the setup.

[@omkardalvi8484]

1:20 to 2:10 I didn't get the step!?
Can u plz explain me

[@MathsWithJay]

Think about how you would add fractions together, eg 2/5+3/8+7/9....you would want to make the denominators the same, so you would multiply each fraction by something to do this

[@Ismeni]

Thanks, that equating coefficients of x^2 will be very useful to save time in the exam

[@MathsWithJay]

Glad it was helpful!

[@ketaksingh5465]

thanks a lot

[@MathsWithJay]

You are most welcome

[@alevelsos]

Jay is a girl or a guy ?

[@MathsWithJay]

Is that relevant to your understanding of the mathematics?!

[@alevelsos]

@@MathsWithJay No well i loved the video but my names Jay too :3

[@MathsWithJay]

A great name!

[@alevelsos]

@@MathsWithJay Agreed

[@lightningd1]

amazing explanation thank you but ngl the way you write your x's annoys me lmao

[@MathsWithJay]

Thanks for your feedback - I like to distinguish between multiplication symbol and the letter "x"

[@kushagrasharma6541]

That's pretty much how everyone writes x in math tho?

[@pragyansarmah2803]

Please pronounce properly.

[@MathsWithJay]

At what time in the video? Would subtitles help?

[@milianavuli1718]

Thank you

[@MathsWithJay]

Welcome!