结合应用公式解题 1、(x^3-1)(x^6+x^3+1)(x^9+1) 2、(x+2y) ^2(x^2-2xy+4y^2) ^2
问题描述:
结合应用公式解题 1、(x^3-1)(x^6+x^3+1)(x^9+1) 2、(x+2y) ^2(x^2-2xy+4y^2) ^2
答
(x^3-1)(x^6+x^3+1)(x^9+1) =(x^9-1)(x^9+1) =x^18-1
(x+2y) ^2(x^2-2xy+4y^2) ^2=(x+2y) ^2{(x-2y) ^2}^2=(x+2y) ^2(x-2y) ^4