- #1
Krasz said:How did you get from step 2 to step 3? Such as how did 2x come into play?
arildno said:After step 1, we have the following "bottom part":
[tex]x+\frac{1}{\frac{x^{2}+x+1}{x+1}}=x+\frac{x+1}{x^{2}+x+1}[/tex]
Agreed thus far?
Now, we find a common denominator to the above sum:
[tex]x+\frac{x+1}{x^{2}+x+1}=\frac{x*(x^{2}+x+1)+x+1}{x^{2}+x+1}[/tex]
Calculate the numerator of this expression!
Simplifying a math equation means to reduce the equation to its simplest form by combining like terms and using various algebraic rules and properties.
An equation is considered simplified when all like terms have been combined and there are no unnecessary parentheses or symbols present.
Not all math equations can be simplified. Some equations, such as quadratic equations, cannot be simplified further, but can be solved for a specific variable.
Some common mistakes to avoid when simplifying equations include forgetting to distribute negative signs, combining unlike terms, and making errors with order of operations.
Yes, there is a specific order of operations to follow when simplifying equations. This includes solving parentheses and brackets first, followed by exponents, multiplication and division from left to right, and finally addition and subtraction from left to right.