Question:
Find the partial fractions for the following expression:
![](https://static.wixstatic.com/media/20c892_4ff35f701c7546cc9d7c5bc066172372~mv2.png/v1/fill/w_980,h_95,al_c,q_85,usm_0.66_1.00_0.01,enc_auto/20c892_4ff35f701c7546cc9d7c5bc066172372~mv2.png)
Answer:
Firstly, factorise the denominator:
![](https://static.wixstatic.com/media/20c892_be1f3ad8a8c8414fa1ef1707c1b631fd~mv2.png/v1/fill/w_980,h_369,al_c,q_90,usm_0.66_1.00_0.01,enc_auto/20c892_be1f3ad8a8c8414fa1ef1707c1b631fd~mv2.png)
Sub x = 2 into the equation to remove A from the variables:
![](https://static.wixstatic.com/media/20c892_28cfd93c7e184cecbc0c4a9e17d8f294~mv2.png/v1/fill/w_980,h_245,al_c,q_85,usm_0.66_1.00_0.01,enc_auto/20c892_28cfd93c7e184cecbc0c4a9e17d8f294~mv2.png)
Sub x = 5 into the equation to remove B from the variables:
![](https://static.wixstatic.com/media/20c892_3e724a60f02a4a3fac85b0252496b83a~mv2.png/v1/fill/w_980,h_238,al_c,q_85,usm_0.66_1.00_0.01,enc_auto/20c892_3e724a60f02a4a3fac85b0252496b83a~mv2.png)
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