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把一个多项式化成几个整式的积的形式,叫做因式分解.正确理解因式分解的概念是学好因式分解的前提,要注意因式分解的“五忌”.1.忌部分分解例1分解因式:x~2-y~2-z~2-2yz.错解原式=(x+y)(x-y)-z(z+2y).分析错在只是分解了原式的某些部分.正解原式=x~2-(y~2+z~2+2yz) =x~2-(y+x)~2=(x+y+z)(x-y-z).
The form of a product in which a polynomial is converted into several integers is called factorization. The correct understanding of the concept of factorization is the precondition for learning the factorization, and attention must be paid to the factorization of the “five bogey”.1. Example 1 factorization factor: x~2-y~2-z~2-2yz. Misconception of the original formula = (x+y)(xy)-z(z+2y). The analysis error is only the decomposition of the original formula. Some parts. Positive solution of the original = x~2-(y~2+z~2+2yz) =x~2-(y+x)~2=(x+y+z)(xyz).