What Are the Steps to Simplify Algebraic Expressions?

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In summary, simplifying something involves breaking it down into smaller, more manageable parts and eliminating unnecessary complexities. This can be done by identifying the main idea or key points and discarding any extraneous details. Additionally, using clear and concise language can also aid in simplifying information. Ultimately, the goal of simplification is to make something easier to understand and more accessible to others.
  • #1
eleventhxhour
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How do you simplify this?
\(\displaystyle -2x[5x-(2x-7)]+6x[3x-(1+2x)]\)

Can someone show the steps? I keep getting the wrong answer.
 
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  • #2
eleventhxhour said:
How do you simplify this?
\(\displaystyle -2x[5x-(2x-7)]+6x[3x-(1+2x)]\)

Can someone show the steps? I keep getting the wrong answer.

I would first simplify the inside pieces, multiple, and then add. That is,
\[
5x - (2x - 7) = 5x - 2x + 7
\]
Correct?
Then we have
\[
-2x(3x + 7) = -6x^2 - 14x
\]
Now for the other piece, we have
\[
3x - 1 - 2x = x - 1
\]
Correct?
Then we have
\[
6x(x-1) = 6x^2 - 6x
\]
Now we can add the two pieces together to get
\[
-6x^2 - 14x + 6x^2 - 6x = -20x
\]
 
Last edited:
  • #3
eleventhxhour said:
How do you simplify this?
\(\displaystyle -2x[5x-(2x-7)]+6x[3x-(1+2x)]\)

Can someone show the steps? I keep getting the wrong answer.

This is practically a duplicate of a previous question. You were given plenty of reponses. If you didn't understand you should have asked for clarification, although expanding brackets is so fundamental you will be able to find step by step guides in any textbook on secondary school algebra.
 

Related to What Are the Steps to Simplify Algebraic Expressions?

What does it mean to simplify something?

Simplifying something means to break it down into its most basic form or to make it easier to understand or use.

Why is simplifying important in science?

Simplifying is important in science because it allows us to better understand complex concepts and make them more accessible to others. It also helps in problem-solving and decision-making processes.

What are some strategies for simplifying complex ideas?

Some strategies for simplifying complex ideas include breaking them down into smaller parts, using analogies or visual aids, and using everyday language instead of technical jargon.

How can simplifying benefit scientific communication?

Simplifying can benefit scientific communication by making information more understandable and relatable to a wider audience. It can also help to avoid misunderstandings and promote effective knowledge transfer.

What are some potential challenges of simplifying in science?

Some potential challenges of simplifying in science include oversimplification, which can lead to inaccuracies or misunderstandings, and finding the right balance between simplifying and maintaining scientific accuracy.

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