问题
解答题
在讲提取公因式一课时,张老师出了这样一道题目:把多项式3(x-y)3-(y-x)2分解因式•并请甲、乙两名同学在黑板上演算.
甲演算的过程:
3(x-y)3-(y-x)2-3(x-y)3+(x-y)2=(x-y)2[3(x-y)+1]=(x-y)2(3x-3y+1).
乙演算的过程:
3(x-y)3-(y-x)2=3(x-y)3-(x-y)2=(x-y)2(3x-3y).
他们的计算正确吗?若错误,请你写出正确答案.
答案
不正确;
3(x-y)3-(y-x)2
=3(x-y)3-(x-y)2
=(x-y)2[3(x-y)-1]
=(x-y)2(3x-3y-1).