a: \(A=\left(2x+1\right)\left(2x^2+y\right)-x\left(x^2+y\right)+xy\left(x^3-1\right)\)

\(=4x^3+2xy+2x^2+y-x^3-xy+x^3y-xy\)

\(=3x^3+x^3y+2x^2+y\)

Khi x=10; y=-1/10 thì \(A=3\cdot10^3+10^3\cdot\frac{-1}{10}+2\cdot10^2+\frac{-1}{10}\)

\(=3000-100+200-\frac{1}{10}=3000+100-0,1=3100-0,1\)

=3099,1

b: \(B=3x^2\left(x^2-5\right)+x\left(-3x^3+4x\right)+6x^2\)

\(=3x^4-15x^2-3x^4+4x^2+6x^2=-5x^2\)

Khi x=-5 thì \(B=-5\cdot\left(-5\right)^2=-5\cdot25=-125\)

Bài 2:

a: Ta có: \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)

\(\Leftrightarrow10x-16-12x+15=12x-16+11\)

\(\Leftrightarrow-14x=-4\)

hay \(x=\dfrac{2}{7}\)

b: Ta có: \(2x\left(6x-2x^2\right)+3x^2\left(x-4\right)=8\)

\(\Leftrightarrow12x^2-4x^3+3x^3-12x^2=8\)

\(\Leftrightarrow x^3=-8\)

hay x=-2

Bài 1: 

a: Ta có: \(I=x\left(y^2-xy^2\right)+y\left(x^2y-xy+x\right)\)

\(=xy^2-x^2y^2+x^2y^2-xy^2+xy\)

\(=xy\)

=1

b: Ta có: \(K=x^2\left(y^2+xy^2+1\right)-\left(x^3+x^2+1\right)\cdot y^2\)

\(=x^2y^2+x^3y^2+x^2-x^3y^2-x^2y^2-y^2\)

\(=x^2-y^2\)

\(=\dfrac{1}{4}-\dfrac{1}{4}=0\)

a: \(A=x^2-2xy+y^2+x^2+2xy+y^2-2x^2-x\)

=-x

=-2

a: A=2/3x^2y+4x^2y=14/3x^2y

=14/3*9*7=294

b: B=xy^2(1/2+1/3+1/6)=xy^2=3/4*1/4=3/16

c: C=x^3y^3(2+10-20)=-8x^3y^3

=-8*1^3(-1)^3=8

d: D=xy^2(2018+16-2016)

=18xy^2

=18(-2)*1/9=-4

e chịu anh nhé e 2k10

`#3107`

`a)`

`A=`\(3x^4 + \dfrac{1}3xyz - 3x^4 - \dfrac{4}3xyz + 2x^2y - 6z\)

`= (3x^4 - 3x^4) + (1/3xyz - 4/3xyz) + 2x^2y - 6z`

`= -xyz + 2x^2y - 6z`

Thay `x = 1; y = 3` và `z = 1/3` vào A

`A = -1*3*1/3 + 2*1^2*3 - 6*1/3`

`= -1 + 6 - 2`

`= 6 - 3`

`= 3`

Vậy, `A=3`

`b)`

`B=`\(4x^3 - \dfrac{2}7xyz - 4x^3 - \dfrac{4}3xyz + 4x^2y\)

`= (4x^3 - 4x^3) + (-2/7xyz - 4/3xyz) + 4x^2y`

`= -34/21 xyz + 4x^2y`

Thay `x = -1; y = 2` và `z = -1/2` vào B

`B = -34/21*(-1)*2*(-1/2) + 4*(-1)^2 * 2`

`= -34/21 + 8`

`= 134/21`

Vậy, `B = 134/21`

`c)`

`C=`\(4x^2 + \dfrac{1}2xyz - \dfrac{2}3xy^2z - 5x^2yz + \dfrac{3}4xyz\)

`= 4x^2 + (1/2xyz + 3/4xyz) - 2/3xy^2z - 5x^2yz `

`= 4x^2 + 5/4xyz - 2/3xy^2z - 5x^2yz`

Ta có:

`|y| = 2`

`=> y = +-2`

Thay `x = -1; y = 2` và `z = 1/2` vào C

`4*(-1)^2 + 5/4*(-1)*2*1/2 - 2/3*(-1)*2^2*1/2 - 5*(-1)^2*2*1/2`

`= 4 - 5/4 + 4/3 - 5`

`= -11/12`

Vậy, với `x = -1; y = 2; z = 1/2` thì `B = -11/12`

Thay `x = -1; y = -2; z = 1/2`

`B = 4*(-1)^2 + 5/4*(-1)*(-2)*1/2 - 2/3*(-1)*(-2)^2*1/2 - 5*(-1)^2*(-2)*1/2`

`= 4 + 5/4 + 4/3 + 5`

`= 139/12`

Vậy, với `x = -1; y = -2; z = 1/2` thì `B = 139/12.`

`a)A=x(x+y)-x(y-x)`

`=x^2+xy-xy+x^2`

`=2x^2`

Thay `x=-3`

`=>A=2.9=18`

`b)B=4x(2x+y)+2y(2x+y)-y(y+2x)`

`=8x^2+4xy+4xy+2y^2-y^2-2xy`

`=8x^2+y^2+6xy`

Thay `x=1/2,y=-3/4`

`=>B=8*1/4+9/16-9/4`

`=2+9/16-9/4`

`=9/16-1/4=5/16`

\(a,A=\left(x+y\right)^2-9z^2=\left(x+y-3z\right)\left(x+y+3z\right)\\ A=\left(5+7-36\right)\left(5+7+36\right)=-24\cdot48=-1152\\ b,B=\left(2x-y\right)\left(2x+y\right)+\left(2x+y\right)=\left(2x+y\right)\left(2x-y-1\right)\\ B=\left(2+2\right)\left(2-2-1\right)=4\cdot\left(-1\right)=-4\)

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

a: Ta có: \(A=126y^3+\left(x-5y\right)\left(x^2+5xy+25y^2\right)\)

\(=126y^3+x^3-125y^3\)

\(=x^3+y^3\)

\(=\left(-5\right)^3+\left(-3\right)^3=-125-27=-152\)

b: \(C=x^3-9x^2+27x-26\)

\(=x^3-9x^2+27x-27+1\)

\(=\left(x-3\right)^3-1=\left(23-3\right)^3-1=20^3-1\)

=8000-1

=7999

c: \(D=\left(2x-3\right)^2+\left(4x-6\right)\left(4-x\right)+\left(x-4\right)^2\)

\(=\left(2x-3\right)^2-2\left(2x-3\right)\left(x-4\right)+\left(x-4\right)^2\)

\(=\left(2x-3-x+4\right)^2=\left(x+1\right)^2\)

\(=\left(99+1\right)^2=100^2=10000\)