Simplifying an Expression (Heather Jean's Question from Facebook)

In summary, simplifying an expression is the process of reducing an algebraic expression to its simplest form by combining like terms and using the rules of arithmetic. It is important because it allows for easier equation solving, understanding of variable relationships, and more manageable calculations. The steps for simplifying an expression include combining like terms, using the distributive property, simplifying exponents, and combining constants. Some common mistakes in simplifying expressions include forgetting to distribute a negative sign, combining terms with different variables incorrectly, and not simplifying exponents. To improve in this skill, one can practice by solving problems, working with a tutor or teacher, and utilizing online resources such as tutorials and quizzes.
  • #1
Sudharaka
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Heather Jean's of Facebook writes:

Simplify,

\[-(6y-\gamma)-5(-\gamma+6y)\]
 
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  • #2
Sudharaka said:
Heather Jean's of Facebook writes:

Simplify,

\[-(6y-\gamma)-5(-\gamma+6y)\]

Hi Heather, :)

First get rid of the parentheses, then combine like terms(same variable raised to the same power) by adding/subtracting their coefficients, after that combine the constant terms. An example of this procedure can be found >>here<<.
 

FAQ: Simplifying an Expression (Heather Jean's Question from Facebook)

What is simplifying an expression?

Simplifying an expression is the process of reducing an algebraic expression to its simplest form by combining like terms and using the rules of arithmetic.

Why is simplifying an expression important?

Simplifying an expression is important because it allows us to solve equations more easily, understand the relationship between variables, and make calculations more manageable.

What are the steps for simplifying an expression?

The steps for simplifying an expression are: 1) Combine like terms, 2) Use the distributive property, 3) Simplify any remaining exponents, and 4) Combine any constants.

What are some common mistakes when simplifying an expression?

Some common mistakes when simplifying an expression include forgetting to distribute a negative sign, incorrectly combining terms with different variables, and forgetting to simplify exponents.

How can I practice and improve my skills in simplifying expressions?

You can practice and improve your skills in simplifying expressions by solving practice problems, working with a tutor or teacher, and using online resources such as tutorials and quizzes.

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