中科新闻网loeffler randall鞋子:因式分解
来源：百度文库 编辑：中科新闻网 时间：2024/05/09 13:45:01
1. X^4+2X^3+2X^2+2X+1
2. 5X^4-10X^3-5X^2Y^2+5X^2
3. a^2+2ab+b^2+2ac+2bc+c^2
4. -a^3m+a^6n
2. 5X^4-10X^3-5X^2Y^2+5X^2
3. a^2+2ab+b^2+2ac+2bc+c^2
4. -a^3m+a^6n
1. X^4+2X^3+2X^2+2X+1
=x^2(x^2+2x+1)+(x^2+2x+1)
=(x^2+1)(x+1)^2
2. 5X^4-10X^3-5X^2Y^2+5X^2
=5x^2(x^2-2x+1)-5x^2y^2
=5x^2[(x-1)^2-y^2]
=5x^2(x+y-1)(x-y-1)
3. a^2+2ab+b^2+2ac+2bc+c^2
=(a+b)^2+2c(a+b)+c^2
=(a+b+c)^2
4. -a^3m+a^6n
=a^3(a^3n-m)