PTĐTTNT:
\(x^2-3xy+6y-18x\)
Những câu hỏi liên quan
a,6x^2(3x^2-4x+5)
b,(x-2y) (3xy+6y^2+x)
c, (18x^4y^3-24x^3y^4+12x^3y^3):(-6x^2y^3)
gấp gấp giúp em vs
Phân tích đa thức thành nhân tử: y 2 − 3 x y + 6 y − 18 x
PTĐTTNT
3xy(a^2+b^2)-ab(x^2+9y^2)
ptđttnt
\(x^2\) -5x -3xy + 15y
\(x^2\) -5x -3xy + 15y
=(\(x^2\) -5x) - (3xy+15y)
=x(x-5) -3y(x-5)
=(x-3y) (x-5)
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ptđttnt: 2x3-12x2+18x
\(2x^3-12x^2+18x\)
\(=2x\left(x^2-6x+9\right)\)
\(=2x\left(x-3\right)^2\)
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PTĐTTNT:
\(x^8+x+1\)
b)\(\left(x^2+2x\right)^2+9x^2+18x+20\)
\(x^8+x+1\)
\(=\left(x^8+x^7+x^6\right)-\left(x^7+x^6+x^5\right)+\left(x^5+x^4+x^3\right)-\left(x^4+x^3+x^2\right)+\left(x^2+x+1\right)\)
\(=x^6\left(x^2+x+1\right)-x^5\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)-x^2\left(x^2+x+1\right)+\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left(x^6-x^5+x^3-x^2+1\right)\)
Chúc bạn học tốt!!!
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Tính
a. \(6x^2.\left(3x^2-4x+5\right)\)
b.\(\left(x-2y\right)\left(3xy+6y^2+x\right)\)
c.\(\left(18x^4y^3-24x^3y^4+12x^3y^3\right):\left(-6x^2y^3\right)\)
a) 6x2.(3x2 - 4x + 5) = 18x4 - 24x3 + 30x2
b) (x - 2y)(3xy + 6y2 + x) = 3x2y + 6xy2 + x2 - 6xy2 - 12y3 - 2xy = -12y3 + 3x2y - 2xy + x2
c) (18x4y3 - 24x3y4 + 12x3y3) : (-6x2y3) = -6x2y3(-3x2 + 4xy - 2x) : (-6x2y3) = 4xy - 3x2 - 2x
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Phân tích các đa thức sau thành nhân tử
a)\(x^2y+2xy+y\)
b) \(4x^2-4xy-6y^2+6xy\)
c) \(18x^5y+18x^3y-2x^3y^5-2xy^5\)
d) \(-12x^5-12x^3y-3xy^2+36x^4+36x^2y+9y^2\)
a) \(x^2y+2xy+y=y\left(x^2+2x+1\right)=y\left(x+1\right)^2\)
b) \(4x^2-4xy-6y^2+6xy=4x\left(x-y\right)+6y\left(x-y\right)=\left(x-y\right)\left(4x+6y\right)\)
\(=2\left(x-y\right)\left(2x+3y\right)\)
c) \(18x^5y+18x^3y-2x^3y^5-2xy^5=18x^3y\left(x^2+1\right)-2xy^5\left(x^2+1\right)\)
\(=\left(x^2+1\right)\left(18x^3y-2xy^5\right)=2xy\left(x^2+1\right)\left(9x^2-y^4\right)=2xy\left(x^2+1\right)\left(3x-y^2\right)\left(3x+y^2\right)\)
d)
d) \(-12x^5-12x^3y-3xy^2+36x^4+36x^2y+9y^2=-3x\left(4x^4+4x^2y+y^2\right)+9y\left(4x^4+4x^2y+y^2\right)\)\(=\left(4x^4+4x^2y+y^2\right)\left(9-3x\right)\)
PTĐTTNT
a) 4y2 + 1 - 4y
b) 3x2 - 3xy - 5x + 5y
c) x2 - 2x - 4y2 - 4y
a, \(4y^2+1-4y=\left(2y\right)^2-2.2y.1+1^2=\left(2y-1\right)^2\)
b, \(3x^2-3xy-5x+5y=3x\left(x-y\right)-5\left(x-y\right)=\left(3x-5\right)\left(x-y\right)\)
c, \(x^2-2x-4y^2-4y=\left(x-2y\right)\left(x+2y\right)-2\left(x+2y\right)=\left(x+2y\right)\left(x-2y-2\right)\)
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