(4^3-5xy+2x) (-1/2xy)
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a: \(=\left(4xy^2+2xy^2\right)+\left(3x^2y-3x^2y\right)=6xy^2\)
b: \(=xy\left(\dfrac{1}{5}+\dfrac{1}{3}\right)+xy^2\left(\dfrac{4}{3}-\dfrac{2}{5}\right)=\dfrac{8}{15}xy+\dfrac{14}{15}xy^2\)
d: \(=\dfrac{-4}{9}\cdot\dfrac{3}{2}\cdot xy^2\cdot xy^3=-\dfrac{2}{3}x^2y^5\)
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,
$5xy^2+\frac{1}{2}xy^2+\frac{1}{4}xy^2=(5+\frac{1}{2}+\frac{1}{4})xy^2$
$=\frac{23}{4}xy^2$
\(a,-x^2y-2xy+2x^2y+5xy+2\\ =x^2y+3xy+2\\ b,-2xy+\dfrac{3}{2}xy^2+\dfrac{1}{2}xy^2+xy\\ =-xy+2xy^2\)
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
`@` `\text {Ans}`
`\downarrow`
`a)`
`5x^3 - x - 1/2`
Đã thu gọn?
`b)`
`(3xy - x^2 + y) * 2/3x^2y`
`= 3xy * 2/3 x^2y - x^2* 2/3x^2y + y*2/3x^2y`
`= 2x^3y^2 - 2/3x^4y + 2/3x^2y^2`
`c)`
`(4x^3 - 5xy +2x) (-1/2xy)`
`= 4x^3* (-1/2xy) - 5xy* (-1/2xy) + 2x * (-1/2xy)`
`= -2x^4y + 5/2x^2y^2 - x^2y`
`d)`
`(x^2 - 2x +1) (x-1)`
`= x^2(x-1) - 2x(x-1) + x - 1`
`= x^3 - x^2 - 2x^2 + 2x + x -1`
`= x^3 -3x^2 + 3x - 1`
Sửa đề: (4x^3-5xy+2x)*(-1/2xy)
=-4x^3*1/2xy+5xy*1/2xy-2x*1/2xy
=-2x^4y+5/2x^2y^2-x^2y
\(\left(4^3-5xy+2x\right)\left(-\dfrac{1}{2}xy\right)\)
\(=\left(64-5xy+2x\right)\left(-\dfrac{1}{2}xy\right)\)
\(=\left(-\dfrac{1}{2}xy\cdot64\right)-\left(5xy\cdot-\dfrac{1}{2}xy\right)+\left(2x\cdot-\dfrac{1}{2}xy\right)\)
\(=-32xy+\dfrac{5}{2}x^2y^2-x^2y\)