因式分解 (a-1)(a+1)(a+3)(a+5)+16

来源：学生作业帮助网编辑：六六作业网时间：2024/12/24 20:49:19

因式分解(a-1)(a+1)(a+3)(a+5)+16因式分解(a-1)(a+1)(a+3)(a+5)+16因式分解(a-1)(a+1)(a+3)(a+5)+16(a-1)(a+1)(a+3)(a+5

因式分解 (a-1)(a+1)(a+3)(a+5)+16
因式分解 (a-1)(a+1)(a+3)(a+5)+16

因式分解 (a-1)(a+1)(a+3)(a+5)+16
(a-1)(a+1)(a+3)(a+5)+16
=[(a-1)(a+5)][(a+1)(a+3)]+16
=(a^2+4a-5)(a^2+4a+3)+16
=(a^2+4a)^2-2(a^2+4a)-15+16
=(a^2+4a-1)^2
=(a-√5+2)^2(a+√5+2)^2

(a-1)(a+1)(a+3)(a+5)+16
=[(a-1)(a+5)][(a+1)(a+3)]+16
=(a^2+4a-5)(a^2+4a+3)+16
设a^2+4a-5为b
=b(b+8)+16
=b^2+8b+16
十字相乘
=(b+4)^2
=(a^2+4a-1)^2

因式分解 a^3+a^2-a-1 a^4+a^3-a-1(因式分解) 因式分解:a-a-a+1 a(a-1)(a-2)(a-3)(a-4)因式分解 a^3-a^2-a+1 因式分解a^3-a^2-a+1因式分解因式分解(1-a)(1+a)+3 -3a^+2a-1/3 因式分解因式分解 -3a^2+2a+1 因式分解3a^2-5a+1 a^5+a+1因式分解因式分解a^4+a+1 (a+9)(a-1)因式分解因式分解 (a-1)(a+1)(a+3)(a+5)+16 (a-1)(a-2)(a-3)(a-4)-3因式分解, 因式分解：a^12+a^9+a^6+a^3+1 因式分解：a(a-2)(a-3)(a+1)+2 因式分解：(1) a*4-a*3+a*2-a 因式分解:(a+1)(a+2)(a+3)(a+4)-120