Solved

Simplify expression

Posted on 2016-09-06
3
141 Views
Last Modified: 2016-09-06
I don't understand it how it solved. Can you please do it in a different way.
screenshot.jpgscreenshot2.jpg
0
Comment
Question by:mustish1
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
3 Comments
 
LVL 74

Accepted Solution

by:
sdstuber earned 250 total points
ID: 41786941
it's just substitution.  There's really no trick or other method to it. In the example they skipped some of the trivial arithmetic; but we can show all of it.

f(4+h) - f(4)

solve it in two parts

part1: f(4+h) and then part2: f(4)  when you have both, subtract part 2 from part 1

part1:  x= 4+h

so  f(x) = x^2 - 2 = (4+h)^2 - 2 = 4^2 + 8h + h^2 - 2 = 16 + 8h + h^2 -2 = h^2 + 8h +14

part2: x = 4

f(x) = x^2 - 2 = 4^2 - 2 = 16 -2 = 14


f(4+h) - f(4) =    (h^2 + 8h + 14) -  (14) = h^2 + 8h
0
 
LVL 27

Assisted Solution

by:aburr
aburr earned 250 total points
ID: 41786946
What is f(x)?
f(x) = x^2 -2
What if x = 4 +h?      what is f(x) then?   It is
f(4+h) = (4+h)^2 -2
-
What if x= 4   What is f(x) then?    It is
f(4) = 4^2 = 16- 2 = 14   so

(4+h)^2 -2 = 14    do the square

16 + 8h + h^2 – 2 = 14          simplify

h^2 + 8h
0
 

Author Closing Comment

by:mustish1
ID: 41786970
Thank You.
0

Featured Post

Free Tool: Site Down Detector

Helpful to verify reports of your own downtime, or to double check a downed website you are trying to access.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

One of the biggest challenges facing freelancers is balancing multiple projects and deadlines. Organizational skills and time management are key to keeping up with projects and staying on track. Luckily, we’ve curated seven tools to help you focus o…
EE introduced a new rating method known as Level, which displays in your avatar as LVL. The new Level is a numeric ranking that is based on your Points. This article discusses the rationale behind the new method and provides the mathematical formula…
The Bounty Board allows you to request an article or video on any technical topic, or fulfill a bounty request to earn points. Watch this video to learn how to use the Bounty Board to get the content you want, earn points, and browse submitted bount…
Saved searches can save you time by quickly referencing commonly searched terms on any topic. Whether you are looking for questions you can answer or hoping to learn about a specific issue, a saved search can help you get the most out of your time o…

734 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question