\(\frac{y^2-x^2}{x^3-3x^2y+3xy^2-y^3}\)
\(=\frac{\left(y-x\right)\left(y+x\right)}{\left(x-y\right)^3}\)
\(=-\frac{\left(x-y\right)\left(x+y\right)}{\left(x-y\right)^3}\)
\(=-\frac{x+y}{\left(x-y\right)^2}\)
Rut gon bieu thuc sau:
\(\frac{x^3y-xy^3+y^3z-yz^3+z^3x-x^3z}{x^2y-xy^2+y^2z-yz^2+z^2x-zx^2}\)
Rut gon cac bieu thuc sau:
2(x-y).(x+y)+(x-y)^2+(x+y)^2
(2x-3).(4x^2+6x+9) -(54+8x)
(3x+y).(9x^2-3xy+y^2)-(3x-y).(9x^2+3xy+y^2)
(a +b +c)^2-(a-c)^2-2ab+2bc
RUT GON PHAN THUC
1) \(\frac{\left(x-y\right)^3-3xy\left(x+y\right)+y^3}{x-6y}\)
2) \(\frac{a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-c\right)}{ab^2-ac^2-b^3+bc^2}\)
3) \(\frac{2x^3-7x^2-12x+45}{3x^3-19x^2+33x-9}\)
Phan tich da thuc thanh nhan tu:
x^3 - x + 3x^2y + 3xy^2 + y^3 - y
x^2 + 5x - 6
tim x bt
8x3+12x2+6x+1=0
2x2+5x-3=0
phan tich da thuc thanh nhan tu
x3-x+3x2y+3xy2+y3-y
tim x bt:
x2-2x-3=0
rut gon
(5x-1)+2(1-5x)(4+5x)+(5x+4)2
(x-y)3+(y+x)3+(y-x)3-3xy(x+y)
\(\frac{x^4-y^4}{y^3-x^3}\)
rut gon phan thuc
Rut gon phan thuc
a, 3x(1-x)\2(x-1)
b, 3(x-y)(x-z)^2\6(x-y)(x-z)
c, x^2-16\4x-x^2 (x#0,x#4)
rut gon phan thức 3x^2-11xy+6y^2/x^3+3x-3xy-9y
giúp mình với ạ cần gấp lắm rùi
Rut gon bieu thuc:
2(2x-3)^2+(x-2)(x+2)
(12x^2y^2-6x^3y^2):3x^2y:-4y(2x-5)
