因式分解2a(x²+1)²-8ax²

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 03:57:23

因式分解2a(x²+1)²-8ax²
因式分解2a(x²+1)²-8ax²

因式分解2a(x²+1)²-8ax²
2a(x²+1)²-8ax²
=2a【(x²+1)²-4x²】
=2a(x²+1+2x)(x²+1-2x)
=2a(x+1)²(x-1)²
如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”

2a(x²+1)²-8ax²
= 2a[ (x²+1)² -4x²]
= 2a [ x^4 -2x² +1]
=2x ( x²-1)²
= 2x (x+1)²(x-1)²

因式分解
2a(x²+1)²-8ax²
=2a[(x²+1)²-4x²]
=2a(x²+1+2x)(x²+1-2x)
=2a(x+1)²(x-1)²