Rut gon
(2x^2+1/x^3-x/x^2+x+1).(1+x^3/1+x-x+x^2/x+1)
rut gon
1/x-1-x/1-x^3*x^2+x+1/x+1):(2x+1/x^2+x+1)
toi rut gon dc
x^2+x+1/x^2-1
nhung ko tinh dc gtri nguyen cua x de bt tren co gtri nguyen
rut gon bieu thuc :P=5x(x-3)(x+3)-(2x-3)^2+34x(x+2)-5(x+2)^3+25x-1
\(:P=5x(x-3)(x+3)-(2x-3)^2+34x(x+2)-5(x+2)^3+25x-1\)
\(P=5x(x^2-9)-(4x^2-12x+9)+34x^2+68x-5(x^3+6x^2+12x+8)+25-1\)
\(P=5x^3-45x-4x^2+12x-9+34x^2+68x-5x^3-30x^2-60x-40+25-1\)
\(P=(5x^3-5x^3)+(34x^2-4x^2-30x^2)+(12x-45x++68x+25x-60x)-(9+1)\)
\(P=-10\)
Rut gon bt
\(A=[\frac{(x-1)^2}{x^2+x+1}-\frac{1+4x-2x^2}{x^3-1}-\frac{1}{1-x}]^2:\frac{8x^3+1}{8x^2-4x+2}\)
rut gon bieu thuc a,(3x+2)^2+4x-3^2+2(5x-2)(5x+2)-75x^2
b,(x-2)^3+(2x+1)^3++2(x+2)(1-x)-9x^3+2x
a: \(\left(3x+2\right)^2+4x-3x^2+2\left(5x-2\right)\left(5x+2\right)-75x^2\)
\(=9x^2+12x+4+4x-3x^2+50x^2-8-75x^2\)
\(=-19x^2+16x-4\)
Rut gon:
A=(x-2)^2-(2x+1)^2
B=(x-2y)^2-(x-2y) .(2y+x)
C=(x+1)^3-(x-2)^3
D=(x-1)^2-2(x-1)(x+1)+(x+1)^2
E=(x+2y)^2+2(x+2y)(x-2y)+(2y-x)
G=(2x+1)^3-(2x-1)
Giai het ho minh nha! Minh dang can gap
\(A=\left(x-2\right)^2-\left(2x+1\right)^2=x^2-4x+4-4x^2-4x-1=-3x^2+3=-3\left(x^2-1\right)\)
\(=-3\left(x-1\right)\left(x+1\right)\)
\(B=\left(x-2y\right)^2-\left(x-2y\right)\left(x+2y\right)=\left(x-2y\right)\left(x-2y-x-2y\right)=-4y\left(x-2y\right)\)
\(C=\left(x+1\right)^3-\left(x-2\right)^3=\left(x^3+3x^2+3x+1\right)-\left(x^3-6x^2+12x-8\right)\)
\(=x^3+3x^2+3x+1-x^3+6x^2-12x+8=9x^2-9x+9=9\left(x^2-x+1\right)\)
\(D=\left(x-1\right)^2-2\left(x-1\right)\left(x+1\right)+\left(x+1\right)^2=\left(x-1-x-1\right)^2=-2^2=4\)
\(E=\left(x+2y\right)^2+2\left(x+2y\right)\left(x-2y\right)+2y-x=x^2+4xy+4y^2+2\left(x^2-4y^2\right)+2y-x\)
\(=x^2+4xy+4y^2+2x^2-8y^2+2y-x=3x^2-4y^2+4xy+2y-x\)
\(G=\left(2x+1\right)^3-\left(2x-1\right)=8x^3+12x^2+6x+1-2x+1=8x^3+12x^2+4x+2\)
\(=2\left(4x^3+6x^2+2x+1\right)=2\left(4x\left(x+1\right)^2+1\right)\)
rut gon cac bieu thuc
2x(2x+1)2 - 3x(x+3)(x-3) - 4x (x+1) 2
Ta có 2x(2x + 1)2 - 3x(x + 3)(x - 3) - 4x(x + 1)2
= 2x(4x2 + 4x + 1) - 3x(x2 - 9) - 4x(x2 + 2x + 1)
= 8x3 + 8x2 + 2x - 3x3 + 27x - 4x3 - 8x2 - 4x
= 8x3 - 3x3 - 4x3 + 8x2 - 8x2 + 2x + 27x - 4x
= x3 + 25x
a oi hinh nhu sai r con +16x2 nua co a , anh tinh lai ho e duoc kh
Kiều Trinh Vũ ko có + 16x2 nhá vì 8x2 - 8x2 = 0 nhá
1) Ket qua khi rut gon phan thuc \(\dfrac{x^2+2x+1}{x^3+1}\) la:
\(=\dfrac{\left(x+1\right)^2}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{x+1}{x^2-x+1}\)
A=(x+1/2x+4/x+3 -2)/ x+1/x+3-x^2-5x+3/2x
a) tim dk cua x de A dc xac dinh
b) rut gon A
rut gon bieu thuc.
A)(X^2-1).(X+2)-(X-2).(X^2+2X+4)
B)(2X+3)^2+(2X+5)^2-2.(2X+5).(2X+3)