Simplifying and expanding expressions

In summary, the conversation is about simplifying and expanding expressions. The speaker asks for help with understanding the formula and gives two examples of expressions they have attempted. Others in the conversation offer tips on how to combine like terms and provide a link for further explanation. Finally, the speaker asks about using brackets in their test and others explain how to use them in simplifying expressions.
  • #1
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I have a test on simplifying and expanding expressions, could someone help me with this. I don't understand the formula and the way you do it
 
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  • #2
Do you have specific examples of expressions requiring expansion and/or simplification?

Post a few you have attempted, showing how you tried them yourself ... help us help you.
 
  • #3
i tried 4x+7x-5x and 4x^2-2xy-3y^2+6xy+3y^2-x^2 totally confused.
 
  • #4
you can sum like terms ...

4x, 7x and -5x are all like terms $\implies 4x + 7x - 5x = 11x - 5x = 6x$

for the second, like terms have the same variables to the same power. like terms have the same color in the expression below ...

${\color{red}4x^2} {\color{blue}-2xy} {\color{green}-3y^2}{\color{blue}+6xy}{\color{green}+3y^2}{\color{red}-x^2} $

I assume you know how to sum terms with the same and/or different signs
Why don't you try and combine them ...

have a look at the link, too
https://www.mathsisfun.com/algebra/like-terms.html
 
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  • #5
Thanks skeeter this helps
 
  • #6
Would you use brackets in your test? In that case...

You multiply each number in the brackets by the other brackets for example: [ (x+y)(x+y) ] would equal [ x2 + xy + xy + y2 ]. Simplifying these expressions would equal x2 + 2xy + y2

Or...

As Skeeter said you combine the expressions from different sides to make a final answer.

4x+7y+2x+9y = 6x + 16y

These are purposely easier just for you to get the gist :)
 

1. What is the purpose of simplifying and expanding expressions?

The purpose of simplifying and expanding expressions is to make them easier to work with and understand. By simplifying an expression, you can reduce it to its most basic form, which can help in solving equations and identifying patterns. Expanding an expression involves multiplying out brackets and combining like terms, which can help in solving equations and simplifying complex expressions.

2. How do you simplify an expression?

To simplify an expression, you need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Start by simplifying any parentheses, then simplify any exponents, and finally combine like terms by adding or subtracting. Repeat this process until the expression is in its simplest form.

3. What is the difference between simplifying and expanding an expression?

Simplifying an expression involves reducing it to its simplest form, while expanding an expression involves multiplying out brackets and combining like terms. Simplifying is useful for solving equations and identifying patterns, while expanding is useful for simplifying complex expressions.

4. When should you simplify an expression?

You should simplify an expression when it is necessary for solving an equation or identifying patterns. Simplifying can also help in making an expression easier to understand and work with.

5. Can an expression be both simplified and expanded?

Yes, an expression can be both simplified and expanded. This can happen when an expression contains multiple sets of brackets, and each set needs to be expanded and then simplified. It can also happen when an expression contains both addition and multiplication, and the order of operations needs to be followed to simplify it.

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