因式分解:-25a^8+125a^16=
问题描述:
因式分解:-25a^8+125a^16=
-3a^3b^3+2a^2b^2-ab= a^8+a^7-2a^6-3a^5=
答
-25a^8+125a^16
=-25a^8(1-5a^8)
=-25a*(1+√5a^4)(1-√5a^4)
=-25a*(1+√5a^4)(1+5^1/4a^2)(1-5^1/4a^2)
=-25a*(1+√5a^4)(1+5^1/4a^2)(1+5^1/8a)(1-5^1/8a)
-3a^3b^3+2a^2b^2-ab
= -ab(3a^2b^2- 2ab+1)
a^8+a^7-2a^6-3a^5
=a^5(a^3+a^2-2a-3)√是什么意思