Question

因式分解:-25a^8+125a^16=

Answer 1

-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)