Partial-Fraction Decomposition: General Techniques (page 1 of 3) 3 x + 2 = Ax + A 1 + Bx 3 x + 2 = ( A + B) x + ( A )1 (3) x + (2)1 = ( A + B) x + ( A )1 For the two sides to be equal, the coefficients of the two polynomials must be equal. So you 'equate the coefficients' to get. Partial fraction expansion is the opposite of finding the common denominator: instead of trying to combine fractions into a single fraction, we are trying to break them apart. We want to determine what series of simple fractions will add up to the fraction we are trying to decompose.
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