Partial Fractions Decomposition. This topic is one I didn't hear much about until I was required to integrate certain types of rational expressions. It's an important technique that allows you to "simplify" some complicated rational expressions by breaking them down into smaller parts, so that you may more easily compute problems that involve them. This week's problem comes from the Pure Mathematics, CAPE (Caribbean Advanced Proficiency Examination) materials.
To solve this week's problem in completion, you need to recall the following math skills:
✔️ How to use partial fraction decomposition
✔️ Simplifying rational equations
✔️ Working with undetermined coefficients
WMP! #20 says...
Happy solving!
Check back on Friday, September 18th for the solution, which will be posted below ⬇️.
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✏️📓 Solution Time! 📓✏️
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...And we're back to decompose this fraction into the components that were combined to get it in the first place. Here are the steps I took to do so:
There you have it!
▪️ Were you able to decompose the fraction??
▪️ Comment below with your responses and let me know what you thought about this week's problem.
See you right back here next week for WMP! #21
(Now let's see if you can guess what next week's problem is going to be.)
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Cheers!
The Younge Lady
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