分解因式16(x-y)²+24(y²-x²)+9(x+y)²

来源:学生作业学帮网 编辑:学帮网 时间:2024/06/02 14:36:05

分解因式16(x-y)²+24(y²-x²)+9(x+y)²

16(x-y)²+24(y²-x²)+9(x+y)²
= [4(x-y)]²+2*4(x-y)*3(x+y)+[3(x+y)]²
=[4(x-y)+3(x+y)]²
= (7x+y)²