\(\left(x+\frac{1}{3}\right)^3=x^3+3.x^2.\frac{1}{3}+3.x.\left(\frac{1}{3}\right)^2+\left(\frac{1}{3}\right)^3=x^3+x^2+\frac{1}{3}x+\frac{1}{27}\)
1 .Tính nhẩm
(1-x)3 + 3( x2 - 1 ) ( x +1 ) + 3(x - 1) ( x2+1) + (x+1)3 tại x= 1000
2.Rút gọn biểu thức sau thành bằng hằng đẳng thức
(x-1)3 - 3 ( x-1) (x2 -1)+3(x2 - 1 )(x+1) - (x+1)3
Tìm x : \(\frac{2x-\frac{x-1}{2}}{3}-\frac{\frac{x+1}{2}-\frac{2x-3}{3}}{2}=\frac{\frac{x-1}{2}-1}{3}-\frac{x-3}{4}\)
Giải các phương trình:
a) \(\frac{1}{x-1}-\frac{3x^2}{x^3-1}=\frac{2x}{x^2+x+1}\)
b) \(\frac{3}{\left(x-1\right)\left(x-2\right)}+\frac{2}{\left(x-3\right)\left(x-1\right)}=\frac{1}{\left(x-2\right)\left(x-3\right)}\)
c) \(1+\frac{1}{x+2}=\frac{12}{8+x^3}\)
d) \(\frac{13}{\left(x-3\right)\left(2x+7\right)}+\frac{1}{2x+7}=\frac{6}{\left(x-3\right)\left(x+3\right)}\)
Thực hiện phép tính:
a,(x^2-2x+3)(1/2x-5)
b,(x^3-2x^2+x-1)(5-x)
c,(x^3-x^2-7x+3):(x-3)
d,(x^4-x^3+x^2+3x):(x^2-2x+3)
1; Chứng minh:
a) (x-1)(x^2+x+1)=x^3-1
b)(x^3+x^2y+xy+y^3)(x-y)=x^4-y^4
Tính nhẩm :
(1-x)3 + 3( x2 - 1 ) ( x +1 ) + 3(x2 - 1) ( x+1) - (x+1)3
mong mọi ngừơi giúp đỡ mình nhé =)) ☺☻♥
bài 1 giải pt
\(\frac{x-1}{x+3}-\frac{x}{x-3}=\frac{7x-3}{9-x^2}\)
2x+3<6-(3-4x)
Bài 1: Tìm x biết
a) x. ( x+4) . ( 4 - x ) + ( x-5 ) . ( x2 +5x + 25 ) = 3
b) ( x+1 )3 - ( x-1 )3 - 6 . ( x-1 )2 = -10
c) ( x-3 ) . ( x2 + 3x + 9 ) + x. ( x+2 ) . ( 2-x ) = 1
Rút gọn : \(\frac{1}{\left(x+y\right)^3}.\left(\frac{1}{x^3}+\frac{1}{y^3}\right)+\frac{3}{\left(x+y\right)^5}\left(\frac{1}{x^2}+\frac{1}{y^2}\right)+\frac{6}{\left(x+y\right)^5}\left(\frac{1}{x}+\frac{1}{y}\right)\)
Bai1:tìm x biết.
a)4×(x-5)-(x-1)×(4x-3)=5
b) (3x-4)×(x-2)=3x×(x-9)-3
c)(x-5)×(x-4)-(x+1)×(x-2)=7
d)(2x-1)×(x-2)-(x+3)×(2x-7)=3
