因式分解.解方程或不等式1. 4b^2c^2-(b^2+c^2-a^2)^2 2. (x+3)^2+2(x-1)^2=3x^2+13 3. (3x+4)(3x-4)-2小于9(x-2)(x+3)

问题描述:

因式分解.解方程或不等式
1. 4b^2c^2-(b^2+c^2-a^2)^2
2. (x+3)^2+2(x-1)^2=3x^2+13
3. (3x+4)(3x-4)-2小于9(x-2)(x+3)

1原式=(2bc + b^2 + c^2 - a^2)(2bc - b^2 - c^2 + a^2)=[(b+c)^2 - a^2][a^2 - (b-c)^2]2(x+3)^2 + 2(x-1)^2 = 3x^2 + 13 x^2 + 6x + 9 + 2(x^2 - 2x +1)=3x^2+133x^2 +6x +9 -4x +2 =3x^2 +132x +11 = 13x=13(3x+4...