Simplifying Complex Math Expression

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In summary, simplifying complex math expression is the process of reducing a complicated mathematical expression into a simpler form, while retaining its value. It is important because it makes the expression easier to work with, identify patterns and relationships, and save time. To simplify, follow the order of operations, combine like terms, and perform remaining operations. An example is 3x + 5 + 2x - 8, which simplifies to 5x - 3. Some tips include following the order of operations, combining like terms, and checking your work.
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$[\sqrt{4+\pi^2}-2\ln\left({\frac{2+\sqrt{4+\pi^2}}{2}}\right)]-[\sqrt{4+\pi^2/9}-2\ln\left({\frac{2+\sqrt{4+\pi^2/9}}{2}}\right)]$
 
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The only thing you can do is combine the logarithms using the logarithm rules.
 
  • #3
Hello, ineedhelpnow!

You wrote [tex]\;4 + \pi^2/9[/tex]
Does that mean: [tex]\:4 + \frac{\pi^2}{9}\,\text{ or }\,\frac{4+\pi^2}{9}\,?[/tex]
 

FAQ: Simplifying Complex Math Expression

What is simplifying complex math expression?

Simplifying complex math expression is the process of reducing a complicated mathematical expression into a simpler form, without changing the value of the expression. This is commonly done by combining like terms and using mathematical operations such as addition, subtraction, multiplication, and division.

Why is it important to simplify complex math expression?

Simplifying complex math expression is important because it makes the expression easier to work with and understand. It also helps to identify patterns and relationships within the expression, making it easier to solve and manipulate. In addition, it can help to save time and reduce the chances of making mistakes.

How do you simplify complex math expression?

To simplify a complex math expression, follow the order of operations (also known as PEMDAS) which dictates that you first simplify parentheses, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. Combine like terms and perform any remaining operations to arrive at the simplest form of the expression.

Can you give an example of simplifying a complex math expression?

Yes, for example, let's simplify the expression 3x + 5 + 2x - 8. First, we combine like terms by adding 3x and 2x to get 5x. Then, we combine the constants by adding 5 and -8 to get -3. The simplified expression is 5x - 3.

What are some tips for simplifying complex math expression?

Some tips for simplifying complex math expression include:

  • Following the order of operations
  • Combining like terms
  • Distributing any outside factors
  • Using the distributive property
  • Eliminating parentheses
  • Canceling out terms with opposite signs
  • Replacing variables with their values if given
  • Checking your work by plugging the simplified expression back into the original expression

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