0,2:x=1,03+3,97

a: A=-2xy+xy+xy^2=-xy+xy^2

Bậc là 3

b: \(B=xy^2z+2xy^2z-3xy^2z+xy^2z-xyz=-xyz+xy^2z\)

Bậc là 4

c: \(C=4x^2y^3-x^2y^3+x^4+6x^4-2x^2=3x^2y^3+7x^4-2x^2\)

Bậc là 5

d: \(D=\dfrac{3}{4}xy^2-\dfrac{1}{2}xy^2+xy=\dfrac{1}{4}xy^2+xy\)

bậc là 3

e: \(E=2x^2-4x^2+3z^4-z^4-3y^3+2y^3\)

=-2x^2+2z^4-y^3

Bậc là 4

f: \(=3xy^2z+xy^2z+2xy^2z-4xyz=6xy^2z-4xyz\)

Bậc là 4

a) \(A=\left(-2x^2y^3z\right)\cdot\frac{1}{4}xy\cdot5x^3\)

      \(=\left(-2\cdot\frac{1}{4}\cdot5\right)\cdot\left(x^2\cdot x\cdot x^3\right)\cdot\left(y^3\cdot y\right)\cdot z\)

       \(=-\frac{5}{2}x^6y^3z\)

BẬC CỦA ĐƠN THỨC LÀ 10

\(\frac{-10}{4}\)x⁶y⁴z=\(\frac{-5}{2}\)x⁶y⁴z

Dap an cau A bn ay lm r

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

\(=\dfrac{7}{3}x^3y^5z^3\)

\(A=\left(\dfrac{-1}{2}x^2y^3z\right).\left(\dfrac{-14}{3}xy^2z^2\right)\\ =\left(\dfrac{-1}{2}.\dfrac{-14}{3}\right)\left(x^2.x\right)\left(y^3.y^2\right)\left(z.z^2\right)\\ =\dfrac{7}{3}x^3y^5z^3\)

\(A=-\dfrac{1}{2}x^2y^3z.\left(-\dfrac{14}{3}xy^2z^2\right)=-\dfrac{1}{2}\left(-\dfrac{14}{3}\right)x^2xy^3y^2zz^2=\dfrac{7}{3}x^3y^5z^3\)

a) 5xy² . (-3y)²

= 5xy² . 9y²

= (5.9).x.(y².y²)

= 45xy⁴

Hệ số: 45

Bậc: 5

b) x²yz . (-2xy)³

= x²yz . (-8x³y³)

= -8.(x².x³).(y.y³).z

= -8x⁵y⁴z

Hệ số: -8

Bậc: 10

c) (-2x²y)².8x³yz³

= 4x⁴y².8x³yz³

= (4.8).(x⁴.x³).(y².y).z³

= 32x⁷y³z³

Hệ số: 32

Bậc: 13

d) (-2xy³)².(-2xyz)³

= 4x²y⁶.(-8x³y³z³)

= [4.(-8)].(x².x³).(y⁶.y³).z³

= -32x⁵y⁹z³

Hệ số: -32

Bậc: 17

e) (-5xy³z).(-4x²)²

= (-5xy³z).(16x⁴)

= (-5.16).(x.x⁴).y³.z

= -80x⁵y³z

Hệ số: -80

Bậc: 9

f) (2x²y³)².(-2xy)

= (4x⁴y⁶).(-2xy)

= [4.(-2)].(x⁴.x).(y⁶.y)

= -8x⁵y⁷

Hệ số: -8

Bậc: 12

a: =5xy^2*9y^2=45xy^4

b: =x^2yz*(-8)x^3y^3=-8x^5y^4z

c: =4x^4y^2*8x^3yz^3=32x^7y^3z^3

d: =4x^2y^6*(-8)x^3y^3z^3=-32x^5y^9z^3

e: =-5xy^3z*16x^4=-80x^5y^3z

f: =4x^4y^6*(-2xy)=-8x^5y^7

a, \(A=\dfrac{7}{3}x^3y^5z^3\)

b, hệ số 7/3 ; bậc 11 

c, Thay x = 1 ; y = -1 ; z = 2 ta được 

\(A=\dfrac{7}{3}.1.\left(-1\right).8=\dfrac{-56}{3}\)

a,

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

b,

$12x^2y^3z^4+(-7x^2y^3z^4)=12x^2y^3z^4-7x^2y^3z^4=5x^2y^3z^4$

c,

$-6xy^3-(-6xy^3)+6x^3=-6xy^3+6xy^3+6x^3=0+6x^3=6x^3$

d,

$\frac{-x^2}{2}+\frac{7}{2}x^2+x=(\frac{7}{2}-\frac{1}{2})x^2+x$

$=3x^2+x$

e,

$2x^3+3x^3-\frac{1}{3}x^3=(2+3-\frac{1}{3})x^3=\frac{14}{3}x^3$

f,

$5xy^2+\frac{1}{2}xy^2+\frac{1}{4}xy^2=(5+\frac{1}{2}+\frac{1}{4})xy^2$

$=\frac{23}{4}xy^2$

\(a,-2xy^2\left(x^3y-2x^2y^2+5xy^3\right)\\ =-2x^4y^3+4x^3y^4-10x^2y^5\\ b,\left(-2x\right)\left(x^3-3x^2-x+1\right)\\ =-2x^4+6x^3+2x^2-2x\\ c,\left(-10x^3+\dfrac{2}{5}y-\dfrac{1}{3}z\right)\left(-\dfrac{1}{2}zy\right)\\ =5x^3yz-\dfrac{1}{5}y^2z+\dfrac{1}{6}yz^2\\ d,3x^2\left(2x^3-x+5\right)=6x^5-3x^3+15x^2\\ e,\left(4xy+3y-5x\right)x^2y=4x^3y^2+3x^2y^2-5x^3y\\ f,\left(3x^2y-6xy+9x\right)\left(-\dfrac{4}{3}xy\right)\\ =-4x^3y^2+8x^2y^2-12x^2y\)

a: \(A=-4x^5y^3-2x^2y^3z^2-2y^4\)

b: \(B=-4x^5y^3-2x^2y^3z^2-2y^4+2x^2y^3z^2-\dfrac{2}{3}y^4+\dfrac{1}{5}x^4y^3=-4x^5y^3+\dfrac{1}{5}x^4y^3-\dfrac{8}{3}y^4\)