How to put the common The following are examples of using the common factor to bracket:
As can be seen from the above examples. Putting a common factor in brackets allows. You to simplify and readily present complex mathematical expressions. This approach is widely used in solving equations and problems in mathematics. Which makes it an important skill for successful learning and work in this area.
To take the common factor by the brackets, you need to find the largest common divider of all the coefficients inside the brackets.
Further operations are already performed over a simplified expression.
Thus, passing a common factor by brackets helps to make the expression more compact and convenient for further calculations.
Steps and good examples
To pass a common factor by parentheses, you must follow these steps:
Analyze the expression and find a common multiplier of all members.
Ttep 2 Carry out the common factor whatsapp lead by parentheses, writing it in front of the brackets.
Dtep 3 Divide each member of the expression into a common factor and write the result inside the brackets.
Consider an example:
Original expression: 3x + 6y
The total multiplier for members 3x and 6y – is 3.
Step 2: we take 3 out of brackets: 3 (x + 2y).
Step 3: divide each member by 3: x + 2y.
Thus, the expression 3x + 6y after passing the common factor by the brackets will turn into 3 (x + 2y) or x + 2y.
Putting a common factor in brackets can be used. To simplify complex algebraic expressions and simplify calculations.
How to verify the correct issuance of a common factor
To verify the correct output of the common factor. The reverse action – multiplication of the output factor by the brackets inside it must be performed. The result must coincide with the original expression.
If the multiplication result is equal it depends on support from the sponsoring to the original expression. Then the output of the common factor is done correctly. Otherwise, you should double-check the calculations or refer to the textbook or teacher for more help.
For example, consider the following expression:
In this expression, the total factor is the number 2. If we remove the total factor from the brackets, we get:
To check the correct output of the common factor, perform the reverse operation:
The result coincides with the original expression. Thich means that the output of the common factor is done correctly.
Thus, in order to verify the correct output of the belize lists common factor, it is necessary to perform the reverse action – multiply the output factor by the brackets inside it. If the result is equal to the original expression, the multiplier output is done correctly.
