18x4y3-24x3y4+6x2y5 : 6x2y3+4xy
Thực hiện phép chia:
a) (-18x4y3-24x3y4+12x3y3):(-6x2y3)
\(\dfrac{-18x^4y^3-24x^3y^4+12x^3y^3}{-6x^2y^3}=3x^2+4xy-2x\)
Thực hiện phép chia: (làm chi tiết giúp mình nhé)
a) (-18x4y3-24x3y4+12x3y3):(-6x2y3)
\(\dfrac{-18x^4y^3-24x^3y^4+12x^3y^3}{-6x^2y^3}\)
\(=3x^2+4xy-2x\)
tính
a, 6x2(3x2 - 4x + 5)
b, ( x - 2y ) ( 3xy + 6y2 +x)
c, ( 18x4y3 - 24x3y4 + 12x3y3 ) : ( -6x2y3 )
d, [4( x - y )5 + 2( x - y )3 - 3( x-y )2 ] : ( y - x )2
\(a,=18x^4-24x^3+30x\\ b,=3x^2y+6xy^2+x^2-6xy^2-12y^3-2xy=3x^2y+x^2-12y^3-2xy\\ c,=-3x^2+4xy-2x\\ d,=\left(x-y\right)^2\left[4\left(x-y\right)^3+2\left(x-y\right)-3\right]:\left(x-y\right)^2\\ =4\left(x-y\right)^3+2\left(x-y\right)-3\)
a: \(=18x^4-24x^3+30x^2\)
b: \(=3x^2y+6xy^2+x^2-6xy^2-12y^3-2xy\)
\(=x^2-12y^3+3x^2y-2xy\)
a, \(=18x^4-24x^3+30x^2\)
b, \(=3x^2y+6xy^2+x^2-6xy^2-12y^3-2xy=3x^2y+x^2-12y^3-2xy\)
c, \(=-3x^2+4xy-2x\)
d, \(=4\left(x-y\right)^3+2\left(x-y\right)-3=4\left(x^3-3x^2y+3xy^2-y^3\right)+2x-2y-3=4x^3-12x^2y+12xy^2-4y^3+2x-2y-3\)
Tính:
a) 6 x 2 ( 3 x 2 – 4 x + 5 )
b) ( x - 2 y ) ( 3 x y + 6 y 2 + x )
c) ( 18 x 4 y 3 – 24 x 3 y 4 + 12 x 3 y 3 ) : ( - 6 x 2 y 3 )
d) [ 4 ( x – y ) 5 + 2 ( x – y ) 3 – 3 ( x – y ) 2 ] : ( y – x ) 2
Thực hiện phép tính:
a)(5x2-2x+1).(2x2-3x)
b)(18x4y3-6x2y3+12x3y4z):6x2y3
c)(6x3-7x2-x+1):(2x+1)
a) \(\left(5x^2-2x+1\right)\left(2x^2-3x\right)\)
\(=10x^4-15x^3-4x^3+6x^2+2x^2-3x\)
\(=10x^4-19x^3+8x^2-3x\)
b) \(\left(18x^4y^3-6x^2y^3+12x^3y^4z\right)\)
\(=6x^2y^3\left(3x^2-1+2xyz\right)\)
\(\Rightarrow\left(18x^4y^3-6x^2y^3+12x^3y^4z\right):6x^2y^3\)
\(=\left[6x^2y^3\left(3x^2-1+2xyz\right)\right]:6x^2y^3\)
\(=3x^2+2xyz-1\)
c) \(\left(6x^3-7x^2-x+1\right)\)
\(=3x^2\left(2x+1\right)-5x\left(2x+1\right)+2\left(2x+1\right)-1\)
\(=\left(2x+1\right)\left(3x^2-5x+2\right)-1\)
\(\Rightarrow\left(6x^3-7x^2-x+1\right):\left(2x+1\right)\)
\(=\left[\left(2x+1\right)\left(3x^2-5x+1\right)-1\right]:\left(2x+1\right)\)
\(=3x^2-5x+1\) (Dư \(-1\))
Thực hiện phép tính:
a)(5x2-2x+1).(2x2-3x)
b)(18x4y3-6x2y3+12x3y4z):6x2y3
c)(6x3-7x2-x+1):(2x+1)
a)(5x2-2x+1).(2x2-3x)
=10x4-4x3+2x2-15x3+6x2-3x
=10x4-19x3+8x2-3x
b)(18x4y3-6x2y3+12x3y4z):6x2y3
=(18x4y3:6x2y3)-(6x2y3:6x2y3)+(12x3y4z:6x2y3)
=3x2y-xy+2xyz
Tính:
1. ( x - 2 ) ( 3x + 1 )
2. ( 8x4y3 - 12x3y3 + 6x3y4 )
3. ( 3x3y2 + 6x2y3 - 12xy4 ) : 3xy
4. ( 3x3y2 + 6x2y3 - 12xy4 ) : 4xy
5. ( 2x3 - 5x2 + 7x - 6 ) : ( 2x - 3 )
6. ( x4 - x3 + 3x2 + x + 2 ) : ( x2 - 1 )
\(1,=3x^2-6x+x-2=3x^2-5x-2\\ 2,??\\ 3,=3x^3y^2:3xy+6x^2y^3:3xy-12xy^4:3xy=x^2y+2xy^2-4y^3\\ 4,=3x^3y^2:4xy+6x^2y^3:4xy-12xy^4:4xy\\ =\dfrac{3}{4}x^2y+\dfrac{3}{2}xy^2-3x^3\\ 5,\left(2x^3-5x^2+7x-6\right):\left(2x-3\right)=x^2-x+2\\ 6,\left(x^4-x^3+3x^2+x+2\right):\left(x^2-1\right)=x^2-x+4\left(dư6\right)\)
1: =3x^2+x-6x-2=3x^2-5x-2
3: =x^2y+2xy^2-4y^3
4: =3/4x^2y+3/2xy^2-3y^3
5: \(=\dfrac{2x^3-3x^2-2x^2+3x+4x-6}{2x-3}=x^2-x+2\)
Cho x+y=1. Tính B= x3+y3+3xy(x2+y2)+6x3y2+ 6x2y3
\(B=\left(x+y\right)\left(x^2-xy+y^2\right)+3xy\left[\left(x+y\right)^2-2xy\right]+6x^2y^2\left(x+y\right)\)
\(=x^2-xy+y^2+3xy\left(1-2xy\right)+6x^2y^2=x^2-xy+y^2+3xy-6x^2y^2+6x^2y^2=x^2+2xy+y^2=\left(x+y\right)^2=1\)
Thực hiện phép chia
a). (3x2y2 + 6x2y3 - 12xy) : 3xy
b). (2x3 + 5x2 - 2x + 3) : (2x2 - x + 1)
\(b,=3xy\left(xy+2xy^2-4\right):3xy\\ =xy+2xy^2-4\\ c,=\left[\left(2x^3-x^2+x\right)+\left(6x^2-3x+3\right)\right]:\left(2x^2-x+1\right)\\ =\left[x\left(2x^2-x+1\right)+3\left(2x^2-x+1\right)\right]:\left(2x^2-x+1\right)\\ =\left[\left(x+3\right)\left(2x^2-x+1\right)\right]:\left(2x^2-x+1\right)\\ =x+3\)