\(x^4-x^3-10x^2+2x+4\)
\(=x^2+2x^3-2x^2-3x^3-6x^2+6x-2x^2-4x+4\)
\(=\left(x^4+2x^3-2x^2\right)-\left(3x^3+6x^2-6x\right)-\left(2x^2+4x-4\right)\)
\(=x^2\left(x^2+2x-2\right)-3x\left(x^2+2x-2\right)-2\left(x^2+2x-2\right)\)
\(=\left(x^2+2x-2\right)\left(x^2-3x-2\right)\)
Tìm x , biết :
a) (x-2)2 - ( x-3 )(x+3) = 6
b) 4(x - 3)2 - (2x-1)(2x+1) = 10
c) 4(x-4)2- (x-2)(x+2) = 6
d) 9( x+1 )2 - (3x-2)(3x+2) =10
Tìm x , biết :
a) (x-2)2 - ( x-3 )(x+3) = 6
b) 4(x - 3)2 - (2x-1)(2x+1) = 10
c) 4(x-4)2 - (x-2)(x+2) = 6
d) 9( x+1 )2 - (3x-2)(3x+2) =10
B1: A=\(\left(\dfrac{2-3x}{x^2+2x-3}-\dfrac{x+3}{1-x}-\dfrac{x+1}{x+3}\right):\dfrac{3x+12}{x^3-1}\)
a) Rút gọn
b) Tìm x thuộc Z để A nguyên
c) Tính A với x=-2; x=-3
d) Tìm x dể A=1
B2: Phân tích thành nhân tử
a) x2-2xy-4+y2
b) x2-4x+3
c) 9x2(x-y)-x+y
B3: Rút gọn
a) (x-2)3-(x+2)3-(x-1)(x2+x+1)
b) (5x+3y)(5x-3y)+(4x-3y)2
B4: P(x)=x4+x3+mx2-3x+5
a) Khi m=4, thực hiện phép chia P(x) cho x2-x+1
b) Tìm m để P(x)⋮(x-1)
bài 1: tìm x
a.(x-2)^2-(x-3)(x+3)=6
b. 4(x-3)^2-(2x-1)(2x+1)=10
c. (x-4)^2-(x-2)(x+2)=6
d. 9(x+1)^2-(3x-2)(3x+2)=10
1, 4x^3+5x^2+10-12
2, (6x+7)^2(3x+4)(x+1)-6
3, (x^2-6x+5)(x^2-10+21)-20
4, (x^2+x-2)(x^2+9x+18)-28
Tìm x biết:
1. (x-2)^2-(x-3)(x+3)=6
2. 4(x-3)^2-(2x-1)(2x+1)=10
3. (x-4)^2-(x-2)(x+2)=6
4.9(x+1)^2-(3x-2)(3x+2)=10
5. 3x +2(5-x)=0
6.x(2x-1)(x+5)-(2x^2+1)(x+4,5)=3,5
7, 3x^2-3x(x-2)=36
8. (3x^2-x+1)(x-1) +x^2(4-3x)=5/2
1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)+1/(x-4)(x-5)+1/(x-5)(x-6)=1/10
1. 6x(x - 10) - 2x+20=0 6. 3x2 - 6x+3=0
2. 3x2(x - 3) + 3(3 - x)=0 7. 4x2 - 10x+2=0
3. x2 - 8x+16=2(x -4) 8. x2 - 12x -18=0
4. x2 - 16 + 7x ( x+4)=0 9. 3x2 - 10x+3=0
5. x2 - 13x - 14=0 10. 5x2 - 10x+10=0
a, (x-1)3 - x(x-1)2 = 5(2-x) - 11(x+2)
b, (x-2)3 + (3x-1)(3x+1) = (x+1)3
c, \(\frac{2x-1}{5}-\frac{x-2}{3}=\frac{x+7}{5}\)
d, \(\frac{2\left(x-3\right)}{7}+\frac{x-5}{3}=\frac{13x+4}{21}\)
e, \(\frac{\left(x+10\right)\left(x+4\right)}{12}-\frac{\left(x+4\right)\left(2-x\right)}{4}=\frac{\left(x+10\right)\left(x-2\right)}{3}\)
Bài 1
4) (x+3)(x-1)(x-5)(x+15)+64x^2
5) (x+2)(x-4)(x+6)(x-12)+36x^2
6) (x-2)(x-4)(x-5)(x-10)-54x^2
