Thực hiện phép tính (6*x5y2-9*x4y3+15x3y4):3x3y2
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a) \(\left(2x-y\right)\left(4x^2-2xy+y^2\right)\)
\(=8x^3-4x^2y+2xy^2-4xy^2+2xy^2-y^3\)
\(=8x^3-8x^2y+4xy^2-y^3\)
b) \(\left(6x^5y^2-9x^4y^3+15x^3y^4\right):3x^3y^2\)
\(=2x^2-3xy+5y^2\)
a) 2x.(3x2 – 5x + 3)
=2x3-10x2+6x
b(-2x-1).( x2 + 5x – 3 ) – (x-1)3
=-2x3 - 10x2 + 6x - x2 - 5x + 3 - x3 + 3x2 - 3x + 1
= -3x3 - 8x2 - 2x + 4
d) (6x5y2 – 9x4y3 + 15x3y4) : 3x3y2
=2x2-3xy+5y2
⇔
a, - \(\dfrac{1}{3}\).\(xy\).(3\(x^3\).y2 - 6\(x^2\) + y2)
= - \(x^4\).y3 + 2\(x^3\).y - \(\dfrac{1}{3}\).\(xy^3\)
b, (2\(x\) -3).(4\(x\)2 + 6\(x\) + 9)
= (2\(x\))3 - 33
= 8\(x^3\) - 27
Bài 1:
a: \(=2x^2-3xy+5y^2\)
b: \(=\dfrac{2x^3-10x^2-11x^2+55x+12x-60}{x-5}=2x^2-11x+12\)
c: \(=\dfrac{6x^3+3x^2-10x^2-5x+4x+2}{2x+1}=3x^2-5x+2\)
c: \(=\dfrac{\left(x+3\right)^2-y^2}{x+y+3}=x+3-y\)
a: \(\dfrac{20a^4b^5c^2}{\left(-5ab^2c\right)^2}\)
\(=\dfrac{20a^4b^5c^2}{25a^2b^4c^2}\)
\(=\dfrac{4}{5}a^2b\)
b: \(\dfrac{\left(-15x^2y^3\right)^7}{\left(15xy^3\right)^6}-\dfrac{32x^{18}y^5}{\left(-4x^5y\right)^2}\)
\(=\dfrac{-15^7\cdot x^{14}\cdot y^{21}}{15^6\cdot x^6\cdot y^{18}}-\dfrac{32x^{18}y^5}{16x^{10}y^2}\)
\(=-15x^8y^3-2x^8y^3\)
c: \(\dfrac{-\dfrac{1}{3}x^5y^2}{-2xy}-\dfrac{x^2+2x+1}{x+1}\)
\(=\dfrac{2}{3}x^3y-x-1\)
`-1/3x^5y^2:(-2xy)-(x^2+2x+1):(x+1)`
`=-1/3:(-2).(x^5:x).(y^2:y)-(x+1)^2:(x+1)`
`=-1/6x^4y-(x+1)`
`=-1/6x^4y-x-1`
\(\dfrac{-1}{3}x^5y^2:\left(-2xy\right)-\left(x^2+2x+1\right):\left(x+1\right)\)
\(=\dfrac{1}{6}x^4y-x-1\)
a: =>3x+10-2x=0
hay x=-10
c: \(\Leftrightarrow3x^2-3x^2+6x=36\)
=>6x=36
hay x=6
\(a,=3xy^2\\ b,=\dfrac{1}{4}x^3+x-\dfrac{3}{2}\\ c,=-2x^2+xy+5x^3y^2\\ d,=\left(3x-y\right)\left(9x^2+3xy+y^2\right):\left(3x-y\right)=9x^2+3xy+y^2\)