MHB State the differences between an expression and its simplified equivalent.

Click For Summary
The primary difference between an expression and its simplified equivalent lies in the presence of removable singularities, as illustrated by the example f(x) = x/x, which simplifies to f(x) = 1 for x ≠ 0. The simplified expression is generally considered simpler and more straightforward. However, understanding these differences often requires context from specific courses or textbooks that define terms like "expression," "simplified," and "equivalent." Such educational materials typically provide examples that clarify the process of simplification. Overall, context is essential for accurately discussing the differences between expressions and their simplified forms.
arroww
Messages
16
Reaction score
0
State the differences between an expression and its simplified equivalent.
 
Mathematics news on Phys.org
The main difference that comes to my mind is that of removable singularities. For example, consider:

$$f(x)=\frac{x}{x}$$

This is the same as :

$$f(x)=1$$ where $$x\ne0$$
 
arroww said:
State the differences between an expression and its simplified equivalent.
The only think that I can say is that the second expression is presumably simpler. Unfortunately, it is not possible to answer this question outside the context of a particular course or book. This context must provide definitions for such concepts and "expression", "simplified" and "equivalent". I would guess the course or book also give a number of examples of simplifications that can help answer the question.
 

Thread 'Leibniz Rule Videos on Digital-University'

Good morning I have been refreshing my memory about Leibniz differentiation of integrals and found some useful videos from digital-university.org on YouTube. Although the audio quality is poor and the speaker proceeds a bit slowly, the explanations and processes are clear. However, it seems that one video in the Leibniz rule series is missing. While the videos are still present on YouTube, the referring website no longer exists but is preserved on the internet archive...
View full post »

Similar threads

MHB Simplifying and expanding expressions
  • · Replies 5 ·
Replies
5
Views
2K
MHB 8.aux.27 Simplify the trig expression
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Equivalence of two complex expressions
  • · Replies 3 ·
Replies
3
Views
1K
MHB 1.1.21 simplify rational expression
  • · Replies 14 ·
Replies
14
Views
2K
High School Simplifying expressions -- What exactly does it mean to simplify an expression?
  • · Replies 7 ·
Replies
7
Views
3K
MHB Evaluating/Simplifying an Expression
  • · Replies 2 ·
Replies
2
Views
2K
MHB Simplifying an expression with exponents
  • · Replies 1 ·
Replies
1
Views
2K
MHB Simplifying Expression: Simplify Expression
  • · Replies 3 ·
Replies
3
Views
2K
MHB Simplify a fractional expression
  • · Replies 1 ·
Replies
1
Views
1K
MHB Simplifying a square root expression
  • · Replies 6 ·
Replies
6
Views
2K