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There are many different ways to approach this, some more abstract than others.
One form of expression is the fraction eg 3x/2+x/4 which would be simplified by writing it as a single fraction: 3x/2=6x/4 so 3x/2+x/=(6x+x)/4=7x/4
A quadratic equation like x^2-2x+1=0 can be simplified by completing the square: (x-1)^2=0
This is an incredibly general question... If you've got a specific example you want help with it'd be much easier to answer with more detail.
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How can mathematical expressions be solved efficiently?
By simplifying them.
How do you know if you will subtract or add in simplifying algebraic expressions?
Only like terms can be subtracted or added in algebraic expressions.
What is a common mistake that is important to avoid when simplifying rational expressions?
Division by a factor that can be zero.
Simplifying algebraic expressions?
2-9h+6-5n use h=3 and n=2
What is the difference between simplifying and solving in math?
You simplify expressions and solve equations. You don't simplify something that has an equal sign, and you don't solve something that doesn't have an equal sign. For examples, you simplify 2/4 and solve x + 0 = 1
