分解因式:(1)x^2y-9y(2)2a^2-4a+2(3)2x^3-8x(4)27x^2+3

问题描述:

分解因式:(1)x^2y-9y(2)2a^2-4a+2(3)2x^3-8x(4)27x^2+3

(1)=y(x+3)(x-3)
(2)= 2(a-1)^2
(3)=2x(x+2)(x-2)
(4)=3(9x^2+1)

:(1)x^2y-9y=y(x+3)(x-3)
(2)2a^2-4a+2=2(a^2-2a+1)=2(a-1)^2

(3)2x^3-8x=2x(x^2-4)=2x(x+2)(x-2)
(4)27x^2+3=3(9x^2+1)

你好,很高兴回答你的问题

(1)x^2y-9y
=y(x^2-9)
=y(x+3)(x-3)

(2)2a^2-4a+2
=(2a-2)(a-1)

(3)2x^3-8x
=2x(x^2-4)
=2x(x+2)(x-2)

(4)27x^2+3
=3(9x^2+1)

(1)x^2y-9y
=y(x²-9)
=y(x+3)(x-3)
(2)2a^2-4a+2
=2(a²-2a+1)
=2(a-1)²
(3)2x^3-8x
=2x(x²-4)
=2x(x+2)(x-2)
(4)27x^2+3
3(9x²+1)