Bài 2. (1 điểm) Tính:
a) $\left( x-2y \right)\left( 3xy+6{{x}^{2}}+x \right) $;
b) $\left( 18{{x}^{4}}{{y}^{3}}-24{{x}^{3}}{{y}^{4}}+12{{x}^{3}}{{y}^{3}} \right) \, : \, \left( -6{{x}^{2}}{{y}^{3}} \right)$.
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a: =-4xyz^2
b: =-9x^2y
c: =16x^2y^2
d: =1/6x^2y^3
e: =13/6x^3y^2
f: =7/12x^4y
a) -xyz² - 3xz.yz
= -xyz² - 3xyz²
= -4xyz²
b) -8x²y - x.(xy)
= -8x²y - x²y
= -9x²y
c) 4xy².x - (-12x²y²)
= 4x²y² + 12x²y²
= 16x²y²
d) 1/2 x²y³ - 1/3 x²y.y²
= 1/2 x²y³ - 1/3 x²y³
= 1/6 x²y³
e) 3xy(x²y) - 5/6 x³y²
= 3x³y² - 5/6 x³y²
= 13/6 x³y²
f) 3/4 x⁴y - 1/6 xy.x³
= 3/4 x⁴y - 1/6 x⁴y
= 7/12 x⁴y
a: \(A=2\left(x+y\right)+3xy\left(x+y\right)+5x^2y^2\left(x+y\right)=0\)
b: \(B=3xy\left(x+y\right)+2x^2y\left(x+y\right)=0\)
a.
Với \(y=0\) không phải nghiệm
Với \(y\ne0\Rightarrow\left\{{}\begin{matrix}3x+2=\dfrac{5}{y}\\2x\left(x+y\right)+y=\dfrac{5}{y}\end{matrix}\right.\)
\(\Rightarrow3x+2=2x\left(x+y\right)+y\)
\(\Leftrightarrow2x^2+\left(2y-3\right)x+y-2=0\)
\(\Delta=\left(2y-3\right)^2-8\left(y-2\right)=\left(2y-5\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{-2y+3+2y-5}{4}=-\dfrac{1}{2}\\x=\dfrac{-2y+3-2y+5}{4}=-y+2\end{matrix}\right.\)
Thế vào pt đầu ...
Câu b chắc chắn đề sai
Bài giải:
a) (-2x5 + 3x2 – 4x3) : 2x2 = (- )x5 – 2 + x2 – 2 + (-)x3 – 2 = - x3 + – 2x.
b) (x3 – 2x2y + 3xy2) : (- x) = (x3 : -x) + (-2x2y : -x) + (3xy2 : -x)
= -2x2 + 4xy – 6y2
c)(3x2y2 + 6x2y3 – 12xy) : 3xy = (3x2y2 : 3xy) + (6x2y2 : 3xy) + (-12xy : 3xy)
= xy + 2xy2 – 4.
a) (-2x5+3x2-4x3) : 2x2
= (-2x5:2x2)-(4x3:2x2)+(3x2:2x2)
= -x3-2x+\(\dfrac{3}{2}\)
b) \(\left(x^3-2x^2y+3xy^2\right):\left(-\dfrac{1}{2}x\right)\)
= \(\left(x^3:\dfrac{-1}{2}x\right)+\left(-2x^2y:\dfrac{-1}{2}x\right)+\left(3xy^2:\dfrac{-1}{2}x\right)\)
= \(-2x^2+4xy-6y^2\)
c) \(\left(3x^2y^2+6x^2y^3-12xy\right):3xy\)
= \(\left(6x^2y^3:3xy\right)+\left(3x^2y^2:3xy\right)+\left(-12xy:3xy\right)\)
= \(xy^2+xy-4\)
A=2(x+y)+3xy(x+y)+5x2y2(x+y)+2
A=2.0+3xy.0+5x2y2.0+2
A=2
B=xy(x+y)+2x2y (x+y)+5
B=xy.0+2x2y.0+5=5
a,Ta có 2(x+y)+3xy(x+y)+5x2y2(x+y)+4
Xg thay x+y=0 vào là dc bn nhó
Chúc bn hok tốt
`a, = 3x^2y - 3xy + 6x^2y + 5xy - 9x^2y`
`= 2xy`.
Thay `x = 2/3; y = -3/4` vào BT:
`2 . 2/3 . -3/4 = -1.`
`b, x(x-2y) - y(y^2-2x)`
`= x^2 - 2xy - y^3 + 2xy`
`= x^2 - y^3`
Thay `x = 5; y =3` vào BT:
`= 5^2 - 3^3 = 25 - 27 = -2`
a) \(3x^2y-\left(3xy-6x^2y\right)+\left(5xy-9x^2y\right)\)
\(=3x^2y-3xy+6x^2y+5xy-9x^2y\)
\(=2xy\)
Thay \(x=\dfrac{2}{3},y=-\dfrac{3}{4}\) vào Bt ta có:
\(2\cdot\dfrac{2}{3}\cdot-\dfrac{3}{4}=-1\)
b) \(x\left(x-2y\right)-y\left(y^2-2x\right)\)
\(=x^2-2xy-y^3+2xy\)
\(=x^2-y^3\)
Thay \(x=5,y=3\) vào Bt ta có:
\(5^2-3^3=-3\)
cau a : (3x^2y-6xy+9x)(-4/3xy)
=-4/3xy.3x^2y+4/3xy.6xy-4/3xy.9x
=-4x+8-8y
cau b : (1/3x+2y)(1/9x^2-2/3xy+4y^2)
=(1/3)^3-2/9x^2y+8y^3+4/3xy^2+2/9x^2y-4/3xy^2+8y^3
=(1/3)^3 + (2y)^3x-2
cau c : (x-2)(x^2-5x+1)+x(x^2+11)
=x^3-5x^2+x-2x^2+10x-2+x^3+11x
=2x^3-7x^2+22x-2
cau d := x^3 + 6xy^2 -27y^3
cau e := x^3 + 3x^2 -5x - 3x^2y - 9xy = 15y
cau f := x^2-2x+2x -4-2x-1
= x(x-2)-5
a) \(\left(x-2y\right)\left(3xy+6x^2+x\right)\)
\(=x\left(3xy+6x^2+x\right)-2y\left(3xy+6x^2+x\right)\)
\(=3x^2y+6x^3+x^2-6xy^2-12x^2y-2xy\)
\(=6x^3+x^2-9x^2y-6xy^2-2xy\)
b) \(\left(18x^4y^3-24x^3y^4+12x^3y^3\right):\left(-6x^2y^3\right)\)
\(=18x^4y^3:\left(-6x^2y^3\right)-24x^3y^4:\left(-6x^2y^3\right)+12x^3y^3:\left(-6x^2y^3\right)\)
\(=-3x^2+4xy-2x\)
a) (�−2�)(3��+6�2+�)(x−2y)(3xy+6x2+x)
=�(3��+6�2+�)−2�(3��+6�2+�)=x(3xy+6x2+x)−2y(3xy+6x2+x)
=3�2�+6�3+�2−6��2−12�2�−2��=3x2y+6x3+x2−6xy2−12x2y−2xy
=6�3+�2−9�2�−6��2−2��=6x3+x2−9x2y−6xy2−2xy
b) (18�4�3−24�3�4+12�3�3):(−6�2�3)(18x4y3−24x3y4+12x3y3):(−6x2y3)
=18�4�3:(−6�2�3)−24�3�4:(−6�2�3)+12�3�3:(−6�2�3)=18x4y3:(−6x2y3)−24x3y4:(−6x2y3)+12x3y3:(−6x2y3)
=−3�2+4��−2�=−3x2+4xy−2x