把下列分解因式：(1) x^2y-6xy+9y (2)2x^3y^2-16x^2y+32x (3)16x^5+8x^3y^2+xy_数学解答

把下列分解因式：(1) x^2y-6xy+9y (2)2x^3y^2-16x^2y+32x (3)16x^5+8x^3y^2+xy^4 (4)(a^2+3a)^2-(a-1)^2

人气：156 ℃　时间：2020-03-31 17:36:03

解答

(1) x^2y-6xy+9y =y(x^2-6x+9)=x(x-3)^2(2)2x^3y^2-16x^2y+32x=2x(x^2y^2-8xy+16)=2x(xy+4)^2(3)16x^5+8x^3y^2+xy^4 =x(16x^4+8x^2y^2+y^4)=x(4x^2+y^2)^2(4)(a^2+3a)^2-(a-1)^2=(a^2+3a+a-1)(a^2+3a-a+1)=(a^2+4a-1...