Ta có: \(\dfrac{3x^3+3x^2-1}{3x+1}\)
\(=\dfrac{3x^3+x^2+2x^2+\dfrac{2}{3}x-\dfrac{2}{3}x-\dfrac{2}{9}-\dfrac{7}{9}}{3x+1}\)
\(=\dfrac{3x^2\left(x+\dfrac{1}{3}\right)+2x\left(x+\dfrac{1}{3}\right)-\dfrac{2}{3}\left(x+\dfrac{1}{3}\right)-\dfrac{7}{9}}{3\left(x+\dfrac{1}{3}\right)}\)
\(=3x^2+2x-\dfrac{2}{3}-\dfrac{\dfrac{7}{9}}{3\left(x+\dfrac{1}{3}\right)}\)
Tính :
B=(x-3)3-(x+3).(x2-3x+9)+(3x-1).(3x+1)
C=(3x+2)3-18x.(3x+2)+(x-1)3-28x3+3x.(x-1)
B=(x-3)3-(x+3).(x2-3x+9)+(3x-1).(3x+1)
C=(3x+2)3-11818x18x .(3x3x+2)+(x-1)3 - 28x3+3x.(x-1)
Giải phương trình
a) 2(9x^2 + 6x + 1) = (3x+1)(x-2)
b) 12/1-9x^2 = 1-3x/1+3x - 1+3x/1-3x
a.(3x-1)3 - (3x+1)3
b.(1+3x)3 - (1-3x)3
c.(1+3x)3 - (1-3x).(1+3x)-(1-3x)3
Tìm x:
A/ 5x²(3x-1)-10x³(1-3x) = 0
B/ 9x(x-3)+18x²(3-x) - 81x²(x-3) = 0
C/ (4x-1)(3x-5)-x(4x-1) = 3(1-4x)
D/ 2x²(3x+1)+7(3x+1) = 2x(3x+1)
Rut gon cac bieu thuc sau:
1) A= (x2+3x+1)2 + (3x-1)2 - 2(x2+3x+1)(3x-1)
2) B= (3x2+3x+1)(3x3-3x+1) - (3x3+1)2
3) C= (2x2+2x=1)(2x2 - 2x+1) - (2x2+1)2
rút gọn các biểu thức:
a) (x-2)2-(2x-1)2+(3x-1)(x-5)
b) (x-3)3-(x+3)(x2-3x+9)+(3x-1)(3x+1)
Rút gọn các biểu thức sau:
a,(3x+1)^2-2(3x+1)(3x-5)+(3x-5)^2
b,(3x^2-y)^2
c,(3x+5)^2+(3x-5)^2-(3x+2)(3x-2)
d,2x(2x-1)^2-3x(x+3)(Õ-3)-4x(x+1)^2
e,(x-2)(x^2+2x+4)-(x+1)^2+3(x-1)(x+1)
f,(x^4-5x^2+25)(x^2+5)-(2+x^2)^2+3(1+x^2)^2
Bài 1 : rút gọn các biểu thức sau
A = \(\left(3x+1\right)^2-2\left(3x+1\right)\left(5x+5\right)+\left(5x+5\right)^2\)
B = \(\left(a+b+c\right)^2+\left(a-b-c\right)^2+\left(b-c-a\right)^2+\left(c-b-a\right)^2\)
C = \(\left(3x+1\right)\left(3x^2+1\right)\left(3x^4+1\right)\left(3x^8+1\right)\left(3x^{16}+1\right)\left(3x^{32}+1\right)\)
