Simplification of factor expresion

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In summary, simplification of factor expression is the process of reducing a mathematical expression to its simplest form by combining like terms and using rules of algebra. It is important because it allows for easier equation solving, understanding of mathematical relationships, and pattern recognition. Common rules used for simplification include the distributive property, combining like terms, and exponent rules. To simplify a factor expression, one must identify and combine like terms, remove parentheses using the distributive property, and apply algebraic rules. This concept can be applied to all mathematical expressions involving variables, numbers, and operations, making it a fundamental concept in algebra and applicable in various fields of science and mathematics.
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mindauggas
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Homework Statement



[itex]\frac{px^{p-1}}{q(x^{p/q})^{q-1}}[/itex]

The answear in the book:

[itex]\frac{px^{p/q-1}}{q}[/itex]

The Attempt at a Solution



(1) [itex]\frac{p*x^{p}*x^{-1}}{q*(x^{p/q})^{q}*(x^{p/q})^{-1}}[/itex]

(2) [itex]\frac{px^{p/q}}{qx}[/itex]

Where is my mistake?

P.S. I omited some steps that seemed pretty straight farward.
 
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  • #2
I see it now ... the x in the denominator has to go to the top ... what an inffuritingly imbecile mistake
 

FAQ: Simplification of factor expresion

What is "Simplification of factor expression"?

Simplification of factor expression is the process of reducing a mathematical expression to its simplest form by combining like terms and using rules of algebra.

Why is simplification of factor expression important?

Simplification of factor expression is important because it allows us to solve equations more easily and understand the relationship between different mathematical expressions. It also helps in identifying patterns and making predictions.

What are the common rules used for simplification of factor expression?

The common rules used for simplification of factor expression include the distributive property, combining like terms, and using exponent rules.

How do I simplify a factor expression?

To simplify a factor expression, you must first identify any like terms and combine them. Then, use the distributive property to remove any parentheses. Finally, apply any exponent rules or other algebraic rules to further simplify the expression.

Can simplification of factor expression be applied to all mathematical expressions?

Yes, simplification of factor expression can be applied to all mathematical expressions as long as they involve variables, numbers, and mathematical operations. It is a fundamental concept in algebra and is used in various fields of science and mathematics.

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