x³-3xy²-2y³
Tìm x
a) x(x^3+3x-4x)-(4x+3x^2)=20
b) (2\3xy-x^2+3xy^3)(2x^2-3xy^2+x^2y)
c) (2xy+3xy^2-x^2y)(xy+x^2y+y^2)
P=-3xy(xy-2y^2)-x^2(x^2-y^2)+2y^2(x^2-3xy tại x=-2 y=2011 tại x=-2;y=2011
\(P=-3xy\left(xy-2y^2\right)-x^2\left(x^2-y^2\right)+2y^2\left(x^2-3xy\right)\)
\(P=-3x^2y^2+6xy^3-x^4+x^2y^2+2x^2y^2-6xy^3\)
\(P=-x^4\)
Thay x = -2 vào P, ta có:
\(P=-\left(-2\right)^4=-16\)
Ta có: \(P=-3xy\left(xy-2y^2\right)-x^2\left(x^2-y^2\right)+2y^2\left(x^2-3xy\right)\)
\(=-3x^2y^2+6xy^3-x^4+x^2y^2+2x^2y^2-6xy^3\)
\(=-x^4\)
\(=-16\)
Bai 1 TINH
a) x ^2 . x -2x^3
b) 6 x^2y . 3xy - 2y^2.x +y
C) 4x^2 +5x -1 .2x^3 -3x
d)-8x^3y + 2y^4 . 3xy^3 - 2x^4 +7y^4
GIUP MINH NHÀ
a.4x^2y-3xy^2+xy+xy-x^2y+5xy^2
b.x^2+2y^2+3xy+x^2-3y^2+4xy
c.2x^y-3xy+4xy^2-5x^2y+2xy^2
d.(2x^3+3x^2-4x+1)-(3x+4x^3-5)
Tính giá trị biểu thức
A=\(2x+2y+3xy\left(x+y\right)+5\left(x^3y_{ }^2+x^2y^3\right)\)
tại x+y=0
B=\(3xy\left(x+y\right)+2x^3y+2x^2y^2\)
tại x+y=0
a: \(A=2\left(x+y\right)+3xy\left(x+y\right)+5x^2y^2\left(x+y\right)=0\)
b: \(B=3xy\left(x+y\right)+2x^2y\left(x+y\right)=0\)
\(\Rightarrow\)A=2(x+y)+3xy(x+y)+5x2y2(x+y)
Thay x+y=0 vào A
\(\Rightarrow\)A=0
Tìm x biết: 5x(3x^2y-2xy^2+1)-3xy(5x^2-3xy)+x^2y^2-10=0 Giúp em với đang cần gấp
\(5x\left(3x^2y-2xy^2+1\right)-3xy\left(5x^2-3xy\right)+x^2y^2-10=0\)
\(\Leftrightarrow15x^3y-10x^2y^2+5x-15x^3y+9x^2y^2+x^2y^2-10=0\)
\(\Leftrightarrow5x=10\Leftrightarrow x=2\)
Rút gọn các biểu thức sau:
a) A= 1/3xy + 4xy - 2xy
b) B=-xy^2 + 3/2xy^2 + 4/3xy^2
c) C= (2xy)^2 + 2/3x^2y^2 - 4/3xyx
d) D= x. (3xy^2z) + 4x^2y^2z - 8x^2y . yz
a: =xy(1/3+4-2)=7/3xy
b: =xy^2(-1+3/2+4/3)=(1/3+3/2)xy^2=11/6xy^2
c: =4x^2y^2+2/3x^2y^2-4/3x^2y=-4/3x^2y+14/3x^2y^2
d: =3x^2y^2z+4x^2y^2z-8x^2y^2z=-x^2y^2z
\(\dfrac{2}{5}x^2y+xy^2-3xy+\dfrac{1}{3}xy^2-3xy-\dfrac{1}{2}x^2y\)
\(\dfrac{2}{5}x^2y+xy^2-3xy+\dfrac{1}{3}xy^2-3xy-\dfrac{1}{2}x^2y\)
=\(\left(\dfrac{2}{5}x^2y-\dfrac{1}{2}x^2y\right)+\left(xy^2+\dfrac{1}{3}xy^2\right)-\left(3xy+3xy\right)\)
=\(\left(\dfrac{-1}{10}\right)x^2y+\dfrac{4}{3}xy^2-6xy\)
x^2+2y^2-3xy+x-2y
\(x^2+2y^2-3xy+x-2y\)
\(=x^2-2xy-xy+2y^2+x-2y\)
\(=x\left(x-2y\right)-y\left(x-2y\right)+\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x-y+1\right)\)
(x^2y^2 - x^2y + 4xy + 2x - 4) + (-x^2y^2 - 6x^2y - xy + 2x+4) - (2x^2y^2 - 3xy +x - 4)
=