分解因式:(1)18x^3-27x^4-3x^2 (2)x^4-18x^3+81 16a^2b^4-8ab^2c^2+c^4 (4)9(2x-y)^2-6(2x-y)+1分解因式:(1)18x^3-27x^4-3x^2 (2)x^4-18x^3+81 (3)16a^2b^4-8ab^2c^2+c^4 (4)9(2x-y)^2-6(2x-y)+1

问题描述:

分解因式:(1)18x^3-27x^4-3x^2 (2)x^4-18x^3+81 16a^2b^4-8ab^2c^2+c^4 (4)9(2x-y)^2-6(2x-y)+1
分解因式:(1)18x^3-27x^4-3x^2 (2)x^4-18x^3+81
(3)16a^2b^4-8ab^2c^2+c^4 (4)9(2x-y)^2-6(2x-y)+1

18x^3-27x^4-3x^2=-3x^2(-6x+9x^2+1)=-3x^2(9x^2-6x+1)=-3x^2(3x-1)^2x^4-18x^2+81=(x^2)^2-2*x^2*9+9^2=(x^2-9)^2=(x+3)^2(x-3)^216a^2b^4-8ab^2c^2+c^4=(4ab^2)^2-2*(4ab^2)*c^2+(c^2)^2=(4ab^2-c^2)^29(2x-y)^2-6...