\(x^3+2x-3=x^3-x+3x-3=x\left(x^2-1\right)+3\left(x-1\right)\)
\(=x\left(x-1\right)\left(x+1\right)+3\left(x-1\right)=\left(x-1\right)\left[x\left(x+1\right)+3\right]\)
\(=\left(x-1\right)\left(x^2+x+3\right)\)
\(x^3+2x-3=x^3-x+3x-3=x\left(x^2-1\right)+3\left(x-1\right)\)
\(=x\left(x-1\right)\left(x+1\right)+3\left(x-1\right)=\left(x-1\right)\left[x\left(x+1\right)+3\right]\)
\(=\left(x-1\right)\left(x^2+x+3\right)\)
phân tích đa thức thành nhân tử
a) 4x (a-b) +6xy(b-a)
b) (6x+3) - ( 2x-5) (2x+1)
c) 4 ( x-3)^2 +2x (3-x)
d) x^4 +2x^2 -4x-4
e) 2x (x+y) -x -y
g)( 3x-1 )^2 - (x+3)^2
a) x(2x - 1) - (x - 2)(2x + 3) = 5
b) (x - 3)2 - 25 = 0
c) (x - 1) (2 - x) + (x + 3)2 = 4 - 2x
Tìm x:
a) x^3 - 25x = 0
b) (2x + 3)^2 = (x+4)^2
c) (2x-1)^2 - (2x-5)(2x+5) = 18
d) x^3 - 8 = (x-2)^3
1. x^2-y^2-2x+2y 2. x^3-x+3x^2y+3xy^2+y^3-y. 3. 4x^4y^4+1. 4. x^2-2x-4y^2-4y. 5.x^3-x^2-x+1. 6.x^2y-x^3-9y+9x. 7.x^3-2x^2+x-xy^2. 8.x^2-2x-4y^2-4y.
rút gọn các bt sau:
(x-8)(x^2-2x+9)+(x+1)^3
(2x-1)^2-3(x-1)(x+2)-(x-3)^2
2(x+2)(x-2)+(x+3)(2x-1)
(x-2)(2x-1)-3(x+1)^2-4x(x+2)
phân tích ra thừa số nguyên tố
a,6x^2-11x+3 b,2x^2+3x-27 c,2x^2-5xy+3y^2 d,2x^2-5xy-3y^2
e,x^3+2x-3 f,x^3-7x+6 g,x^3+5x^2+8x+4 h,x^3-9x^2+6x+16
j,x^3-x^2-4 k,x^3-x^2-x-2 l,x^3+x^2-x+2 m,x^3-6x^2-x+30
j) (2x – 1)(3x + 1) – (4 – 3x)(3 – 2x) = 3
k) (2x + 1)(x + 3) – (x – 5)(7 + 2x) = 8
m) 2(3x – 1)(2x + 5) – 6(2x – 1)(x + 2) = - 6
tìm X nhé
Tìm x , biết :
a) (3x -1)(2x+7) -(x+1)(6x-5) =16
b) (2x +3)2-2(2x+3)(2x-5)+(2x-5)2= x2+6x+64
c) (x4+2x3+10x-25): (x2+5)=3
phân tích
1,(x-2)^4+(x-3)^4-1
2,(x-1)^4+(x+3)^4-512
3,(x-2)^6+(x-4)^6-64
4,x^4-3x^3+6x^2+3x+1
5,3x^4-2x^3-15x^2-2x+3
6,x^6-2x^5-4x^4+6x^3+4x^2-2x-1
Tìm x biết:
a) 2x3+2x+x3+1=0
b) x7+x3+2x5+2x=0