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On the total score of mathematics
Fractional general division;

The key to general division is to determine the simplest common denominator of several fractions, and the steps are as follows:

1. Factorize the denominator of each fraction;

2. Take the least common multiple of denominator coefficient;

3. All the letters or factors based on letters should be taken;

4. The factor with the same letter or the power of the factor with the letter takes the largest exponent;

5. Multiply all the above formulas to get the simplest common denominator;

6. Multiply the numerator and denominator of the atomic formula by an appropriate algebraic expression to simplify the denominator of each subformula to the simplest common denominator.

For example, this question: 1-x? =( 1-x)( 1+x+x? ), then the simplest common denominator is (1-x? );

Then the first decimal part is (1-x? ) can be calculated.

1/( 1-x)-3/( 1-x? )

=( 1+x+x? )/( 1-x)( 1+x+x? )-3/( 1-x)( 1+x+x? )

=( 1+x+x? -3)/( 1-x)( 1+x+x? )

=(x+x? -2)/( 1-x)( 1+x+x? )

=(x+2)(x- 1)/( 1-x)( 1+x+x? )

=-( 1-x)(x+2)/( 1-x)( 1+x+x? )

=-(x+2)/( 1+x+x? )

=(-x-2)/( 1+x+x? )