\(\left(2-x\right)^3=6x\left(x-2\right)\)
=>\(-\left(x-2\right)^3-6x\left(x-2\right)=0\)
=>\(\left(x-2\right)^3+6x\left(x-2\right)=0\)
=>\(\left(x-2\right)\left(x^2-4x+4+6x\right)=0\)
=>\(\left(x-2\right)\left(x^2+2x+4\right)=0\)
=>x-2=0
=>x=2
\(\left(2-x\right)^3=6x\left(x-2\right)\)
=>\(-\left(x-2\right)^3-6x\left(x-2\right)=0\)
=>\(\left(x-2\right)^3+6x\left(x-2\right)=0\)
=>\(\left(x-2\right)\left(x^2-4x+4+6x\right)=0\)
=>\(\left(x-2\right)\left(x^2+2x+4\right)=0\)
=>x-2=0
=>x=2
Bài 3: phân tích thành nhân tử:
1/ 9x^3-xy^2
2/x^2-3xy-6x+18y
3/x^2-3xy-6x+18y 3/6x(x-y)-9y^2+9xy
4/ 6xy-x^2+36-9y^2
5/ x^4-6x^2+5
6/ 9x62-6x-y^2+2y
Bài 4:Tìm x, biết:
1/ (x-1)(x^2+x+1)-x^3-6x=11
2/ 16x^2-(3x-4)^2=0
3/ x^3-x^2+3-3x=0
4/ x-1/x+2=x+2/x+1
5/1/x+2/x+1=0
6/ 9-x^2/x : (x-3)=1
Bài5: 1/ 12x^3y^2/18xy^5
2/10xy-5x^2/2x^2-8y^2
3/ x^2-xy-x+y/x^2+xy-x-y
4/ (x+1)(x^2-2x+1)/(6x^2-6)(x^3-1)
5/ 2x^2-7x+3/1-4x^2
tìm x biết: 2x^4-6x^3+x^2+6x-3=0
Tìm x biết: (x+2)^3-x^2(x-6)-4=0 6x^2-(2x-3)(3x+2)=1
Tìm x, biết:
a) (6x+1)2 + (6x-1)2 - 2(1+6x)(6x-1)
b) x(2x2-3) - x2(5x+1) + x2
Tìm x biết
a)(x+3)^2(x-2)^2=2x b)7x(x-2)=(x-2) c)8x^3-12x^2+6x-1=0
d)4x^2-9-x(2x-3)=0 e)x^3+5x^2+9x=-45 f)x^3-6x^2-x+30=0
tìm x biết : a)x(x-3)-x^2+5=0 b)x^2-6x=0 c)2x^3+5x^2-012x=0
TÌM X BIẾT \(\frac{X-1}{X^2-9X+20}+\frac{2X-2}{X^2-6X+8}+\frac{3X-3}{X^2-X-2}+\frac{4X-4}{X^2+6X+5}=0\)
Tìm x, biết : a.,(x-y)^2-(x-3).(x+3)=6; b, x^2-5x=0;c,x^2+6x+5=0