多项式的因式分解和整式乘法互为逆过程,从乘法的运算过程来看分组分解法可以加深对分组分解法的认识,提高我们的思维能力.一、分组分解法的由来我们先来做乘法:(a+b)(m+n)=a(m+n)+b(m+n)=(am+an)+(bm+bn)=am+an+bm+bn.如果要把am+an+bm+bn因式分解,只须将以上乘法过程逆转:先适当分组化整体为局部,分头分解,形成可以整体分 Polynomial factorization and integer multiplication each other inverse process, from the multiplication operation process group decomposition method can deepen the understanding of group decomposition method to improve our thinking ability. First, the decomposition of the origin of the method we first do multiplication (a + b) (m + n) = a (m + n) + b (m + n) = (am + an) + (bm + bn) = am + an + bm + + an + bm + bn factorization, only the above multiplication process to reverse: the first appropriate grouping as a whole part, split up, forming the whole can be divided into