Calculating Difference Quotients for Scientists

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Understanding difference quotients requires a solid grasp of algebra, which is essential for calculus. If foundational concepts are unclear, it indicates a lack of prerequisite knowledge or effort. Routine algebra steps are crucial for mastering the topic. Additionally, users are encouraged to upload full-sized images for clarity in discussions. The thread was locked due to insufficient effort demonstrated by the poster.
martina1075
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Homework Statement
Can someone help me understand what was done in every step please?
Relevant Equations
As per picture
P
 

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If you do not understand a single step, even the first one, then either you have not worked hard enough at it or you do not have the prerequisite math to understand it. Every step is very routine algebra. Algebra is a prerequisite to understanding calculus.
 
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@martina1075 ,
:welcome:

When you attach a file such as you have done here and elsewhere, please click on "Full Image". As a Homework Helper here at PF, I find it very annoying to have to open a new window to view the full sized image.
59831935-11b3-4858-96bf-e6970f170249-jpeg.251374[1].jpeg
 
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