Factor Comun Por Grupos Ejercicios Resueltos

Factor Comun Ejercicios Resueltos Pdf Estudiar from estudiar.informacion.my.id

Welcome to our article about factor comun por grupos ejercicios resueltos. In this article, we will provide you with tips and examples on how to solve exercises related to factor comun por grupos. This topic is important in algebra, and it helps in simplifying algebraic expressions. Therefore, it is essential to understand the concept of factor comun por grupos and how to solve it.

What is Factor Comun Por Grupos?

Factor comun por grupos is a method used in algebra to simplify algebraic expressions. It involves grouping terms that have a common factor and factoring out the common factor. This method helps in simplifying algebraic expressions and making them easier to solve. Factor comun por grupos is essential in algebra, and it is a fundamental concept that every algebra student should understand.

How to Solve Factor Comun Por Grupos Exercises?

To solve factor comun por grupos exercises, you need to follow the following steps:

Group the terms that have a common factor.

Factor out the common factor from each group.

Write the common factor outside the brackets.

Add the remaining terms inside the brackets.

Simplify the expression inside the brackets if possible.

Example 1:

Simplify the following expression using factor comun por grupos:

2x+6y+10x+30y

Solution:

Group the terms that have a common factor: 2x and 10x, 6y and 30y.

Factor out the common factor from each group: 2x(1+5) and 6y(1+5).

Write the common factor outside the brackets: 2x and 6y.

Add the remaining terms inside the brackets: 2x(1+5)+6y(1+5).

Simplify the expression inside the brackets if possible: 2x(6)+6y(6).

Final Answer: 12x+36y.

Example 2:

Simplify the following expression using factor comun por grupos:

4a-8ab+12a-24ab

Solution:

Group the terms that have a common factor: 4a and 12a, -8ab and -24ab.

Factor out the common factor from each group: 4a(1+3) and -8ab(1+3).

Write the common factor outside the brackets: 4a and -8ab.

Add the remaining terms inside the brackets: 4a(1+3)-8ab(1+3).

Simplify the expression inside the brackets if possible: 4a(4)-8ab(4).

Final Answer: 16a-32ab.

Tips for Solving Factor Comun Por Grupos Exercises

Here are some tips for solving factor comun por grupos exercises:

Identify the terms that have a common factor.

Factor out the common factor from each group.

Write the common factor outside the brackets.

Add the remaining terms inside the brackets.

Simplify the expression inside the brackets if possible.

Check your answer by expanding the brackets and verifying if it is equal to the original expression.

Conclusion

In conclusion, factor comun por grupos is a method used in algebra to simplify algebraic expressions. It involves grouping terms that have a common factor and factoring out the common factor. This method helps in simplifying algebraic expressions, and it is an essential concept that every algebra student should understand. By following the tips and examples provided in this article, you can easily solve factor comun por grupos exercises. So, keep practicing and mastering this concept to excel in algebra.

Remember: Practice makes perfect!

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