Lời giải:
$(2x+1)^2-3(x-1)^2-(x+1)(x-1)$
$=(4x^2+4x+1)-3(x^2-2x+1)-(x^2-1)$
$=4x^2+4x+1-3x^2+6x-3-x^2+1$
$=(4x^2-3x^2-x^2)+(4x+6x)+(1-3+1)$
$=10x-1$
rút gọn
(x + 1) (x2 - x + 1) - (x -1) (x2 + x + 1)
(2x + 3) (2x-3) - (2x+1)2
tính (rút gọn )
2x(3x-1)-(2x+1)(x-3)
3(x^2-2x)-(4x+2)(x-1)
Tính (rút gọn )
1, 2x(3x-1)-(2x+1)(x-3)
2, 3(x^2-2x)-(4x+2)(x-1)
3, 3x(x-5)-(x-2)^2 -(2x+3)(2x-3)
4, (2x-3)^2+(2x-1) (x+4)
Rút gọn \(\left(\dfrac{1}{x-1}+2+\dfrac{2x^3+x^2-x}{1-x^3}\right):\dfrac{1-2x}{x^3+x-2}\)
Rút gọn
a)(x-3)2-x.(x-6)
b)(2x+1)2-(3+2x).(2x-3)-4.(x+2)
c)(2x2-3x+1):(x-1)
Rút gọn biểu thức :
a. (2x+1)^2 +(2x-1)^2 -2(1+2x)(2X-1)
B (x-1)^3 -(x+2)(x^2-2X+4)+3(x-1)(x+1)
Rút gọn các biểu thức sau:
a. (x+5)2-4x(2x+3)2-(2x-1)(x+3)(x-3)
b. -2x(3x+2)(3x-2)+5(x+2)2-(x-1)(2x-1)(2x+1)
1. Rút gọn biểu thức:
A = (x + 2)2 - (x + 3)(x - 1) + 15
B = (x - 1)(x + 1) - (x + 4)2 - 6
C = (3x - 2)(3x + 2) - (3x - 1)2
D = (2x + 1)2 - (2x - 3)2 + 6x
E = (x - 4)2 - x(x + 2) - 2x + 3
