您的位置: 首页  >  作业答案  >  其他  >  因式分解 (1) ax^4-81a (2) 4x^2(x-y)+2x(x-y) (3) a^2x^2+4a^2xy+4a^2y^2

因式分解 (1) ax^4-81a (2) 4x^2(x-y)+2x(x-y) (3) a^2x^2+4a^2xy+4a^2y^2

分类: 作业答案 • 2021-12-19 15:55:50
问题描述：

因式分解 (1) ax^4-81a (2) 4x^2(x-y)+2x(x-y) (3) a^2x^2+4a^2xy+4a^2y^2

答

(1) ax^4-81a
=a(x^4-81)
=a(x²-9)(x²+9)
=a(x-3)(x+3)(x²+9)
(2) 4x^2(x-y)+2x(x-y)
=2x(x-y)(2x+1)
(3) a^2x^2+4a^2xy+4a^2y^2
=a²(x²+4xy+4y²)
=a²(x+2y)²

答

(1) ax^4-81a =a(x^4-81)=a(x²+9)(x²-9)=a(x²+9)(x+3)(x-3)(2) 4x^2(x-y)+2x(x-y)=2x(x-y)(2x+1)(3) a^2x^2+4a^2xy+4a^2y^2=a²(x²+4xy+4y²)=a²(x+2y)²

相关推荐