Đề hình như là phân tích đa thức thành nhân tử ms đúng
S=\(3x.\left(x+1\right)\left(x-1\right)-\left(x^2-1\right)\left(x^4+x^2+1\right)+\left(x^2-1\right)^3\)
\(=3x.\left(x^2-1\right)-\left(x^2-1\right).\left(x^4+x^2+1\right)+\left(x^2-1\right)^3\)
\(=\left(x^2-1\right)\left(3x-x^4+x^2+1\right)\)
Rút gon biểu thức sau:
A=1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)
B=1/x2+x +1/x2+3x+2 +1/x2+5x+6 +1/x2+7x+12 +1/x2+9x+20 +1/x+5
Rút gọn
a) (x^2-1)^3 - (x^4+x^2+1) ).(x^2-1)
b) (x^4 - 3x^2+9).(x^2+3) - (3+x^2)^3
1) CMR: 543-54 khong la so chinh phuong
2) Tim x:
2(x-2).(x+3)-x2+4=0
3) Rut gon
a)2(x+1)2-3(x-1)2+(x+2).(5-x)
b)(3x-1)3+(3x-1)3-6x2+9
4) A= (x-5).(x+2)+3.(x-2).(x+2)-(3x-1)2+5x2
a) rut gon A
b) tinh a khi x =1/2
Rút gọn biểu thức:
a) \(\dfrac{3x+21}{x^2-9}+\dfrac{2}{x+3}-\dfrac{3}{x-3}\)
b) \(\dfrac{3x+1}{\left(x-1\right)^2}-\dfrac{1}{x+1}+\dfrac{x+3}{1-x^2}\)
Rút gọn
\(\dfrac{x^3-3x^2+3x-1}{x^2y-xy-x+1}\)
Rut gon
\(\frac{1}{2}x^2.\left(6x-3\right)-x.\left(x^2+\frac{1}{2}\right)+\frac{1}{2}\left(x+4\right)\)
\(2x\left(3x^3-x\right)-4x^2\left(x-x^2+1\right)+\left(x-3x^2\right)x\)
rut gon a=[2/3x-2/x+1(x+1/3x-x-1)] : x-1/x
Rút gọn
A=(x^4-x^3-x+1) / (x^4+x^3+3x^2+2x+2)rut gon (x^2-2)(1-x) + ( x+3)(x^2-3x+9)