\(\dfrac{x^9+x^8+x^7+x^6+....+x+1}{x^2-1}\)
\(=\dfrac{x^8\left(x+1\right)+x^6\left(x+1\right)+....+\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{\left(x+1\right)\left(x^8+x^6+x^4+x^2+1\right)}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{x^8+x^6+x^4+x^2+1}{x-1}\)
bài 1 : Rút gọn
8) x+3/x^2-3x
9) x-2/x-5÷(x-2)^2/x^2-25
10) 1÷(1-1/a)
11) (a+6/3a+9-1/a+3)÷a+2/27a
12) 6x+6/3x^2+3x
13) 3/x+3 -x-6/x^2+3x
14) (x/x+2+2/x-2+4x/x^2-4)×x^2-2x+4/x+2
Mn giúp e với ạ
Rút gọn phận thức sau:
x^10-x^8-x^7+x^6+x^5+x^4-x^3-x^2+1/x^30+x^24+x^18+x^12+x^6+1
giúp mình với , tối nay phải nộp rồi
rút gọn các biểu thức
A=(x^2/x^3-1 - 1/x-1):(1-x+2/x^2 +x +1)
B=(x^2-x+7/x^2-4):(x+2/x-2 - x-2/x+2 - 2x/x^2-4)
C= x^2+1-2x/x-1 + x^2+x/x+1
D= 3/x+1 + 1/1-x - x-3/x^23x
E= x^3-2x^2+28/x^2-3x-4 - x-4/x+1 - x+8/4-x
F=2x-9/x^2-5x+6 - x+3/x-2 - 2x+1/3x
rút gọn phân thức sau:
Q= \(\dfrac{x^{10}-x^8-x^7+x^6+x^5+x^4-x^3-x^2+1}{x^{30}+x^{24}+x^{18}+x^{12}+x^6+1}\)
Rút gọn phân thức :
\(Q=\dfrac{x^{10}-x^8-x^7+x^6+x^5+x^4-x^3-x^2+1}{x^{30}+x^{24}+x^{18}+x^{12}+x^6+1}\)
1/x(x+3) + 1/(x+3)(x+6) +1/(x+6)(x+9) + 1/(x+9)(x+12) =1/16
Tính tổng sau:
a, \(\dfrac{-1}{x^2-x}+\dfrac{-1}{x^2-3x+2}+\dfrac{-1}{x^2-5x+6}+\dfrac{-1}{x^2-7x+12}+\dfrac{-1}{x^2-9x+20}+\dfrac{1}{x-5}\)
b, \(\dfrac{3}{x\left(x+3\right)}+\dfrac{3}{\left(x+3\right)\left(x+6\right)}+\dfrac{3}{\left(x+6\right)\left(x+9\right)}+\dfrac{1}{x+9}\)
1/x(x+3) + 1/(x+3)(x+6) +1/(x+6)(x+9) + 1/(x+9)(x+12) =1/16
1. rút gọn
a)x^8+x^6 +x^6+x^5+x^4+x^3+x^2+x+1/x^3 -1
b)x^5+x+1/x^3+x^2+x
y^3-x^3/x^3-3x^2y+3xy^2-y^3
