ĐKXĐ : x khác -1 và 1
A = [x^3+1-(x^2-1).(x+1)/(x-1).(x+1)] : [x.(x-1)+x/x-1]
= [-x^2+x/(x-1).(x+1)] : x^2/x-1
= -x.(x-1)/(x-1).(x+1) . (x-1)/x^2
= -(x-1)/x.(x+1)
k mk nha
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)\(\left(x-4\right)\left(x+4\right)x-\left(x^2+1\right)\left(x^2-1\right)\)
b)\(\left(y-3\right)\left(y+3\right)\left(y^2+9\right)-\left(y^2+2\right)\left(y^2-2\right)\)
c)\(x\left(x+\frac{1}{2}\right)-\left(2x-1\right)\left(x+\frac{3}{4}\right)\)
Rut gon bieu thuc:
A=\(8x^{n-1}.\left(\frac{1}{2}x^{n+1}-\frac{3}{4}x\right)\)
Rut gon
a)\(\left(x-4\right)\left(x+4\right)x-\left(x^2+1\right)\left(x^2-1\right)\)
b)\(\left(y-3\right)\left(y+3\right)\left(y^2+9\right)-\left(y^2+2\right)\left(y^2-2\right)\)
c)\(x\left(x+\frac{1}{2}\right)-\left(2x-1\right)\left(x+\frac{3}{4}\right)\)
giai chi tiet giup minh nhe
Rut gon bt
\(A=\left(\frac{2+x}{2-x}-\frac{4x^2}{x^2-4}-\frac{2-x}{2+x}\right):\left(\frac{x^2-3x}{2x^2-x^3}\right)\)
Cho bieu thuc A=\(\left(\frac{1}{x-2}-\frac{2x}{4-x^2}+\frac{1}{2+x}\right)\left(\frac{2}{x}-1\right)\)
Rut gon ATinh gia tri bieu thuc A tai x thoa man :\(2x^2+x=0\)Tim x de A=\(\frac{1}{2}\)4.Tìm x nguyên để A nguyên dương
cho A=\(\left(\frac{x^2}{x^3-4x}+\frac{6}{6-3x}+\frac{1}{x+2}\right)\)\(\div\)\(\left(x-2+\frac{10-x^2}{x+2}\right)\)
a, Rut gon A
b, Tim x de A=2
Cho bieu thuc \(B=\left(\frac{21}{x^2-9}-\frac{x-4}{3-x}-\frac{x-1}{3+x}\right):\left(1-\frac{1}{x+3}\right)\)
a) Rut gon B
b) Tinh gia tri bt B tai x thoa man : l 2x+1 l=5
c) Tim x de B=\(\frac{-3}{5}\)
d) Tim x de B<0
Cho bieu thuc
\(P=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2}{\left(x+y\right)\left(x+1\right)}-\frac{x^2y^2}{\left(x+1\right)\left(1-y\right)}\)
Rut gon P= x+xy-y
DKXD \(x\ne y\); \(x\ne-1\):\(y\ne1\)
Tim x y de P nguyen duong thoa man \(x^2+y^2+3xy-x-3y=0\)
