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? )