a. 3x2+5x-3y2-5y
b.3x(3-x)-6(x-3)
c.x2+4x-21
Những câu hỏi liên quan
a) x(4x+3y)−(y−2x)2
b) (3+x)(x−3)−(x−1)(x2−3)
c)−2(x−3)2+(x+1)(5x−1)
d) (2x+1)(4x2−2x+1)−3x2(x−2)
e) (3x2+19x+20):(3x+4)
f) (7x2+x3+12x−6):(x2+4x−3)
\(a,=4x^2+3xy-y^2+4xy-4x^2=7xy-y^2\\ b,=x^2-9-x^3+3x+x^2-3=-x^3+2x^2+3x-12\\ c,=-2x^2+12x-18+5x^2+4x-1=3x^2+16x-19\\ d,=8x^3+1-3x^3+6x^2=5x^3+6x^2+1\\ e,=\left(3x^2+4x+15x+20\right):\left(3x+4\right)\\ =\left(3x+4\right)\left(x+5\right):\left(3x+4\right)\\ =x+5\\ f,=\left(x^3+4x^2-3x+3x^2+12x-9+3x+3\right):\left(x^2+4x-3\right)\\ =\left[\left(x^2+4x-3\right)\left(x+3\right)+3x+3\right]:\left(x^2+4x-3\right)\\ =x+3\left(dư.3x+3\right)\)
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1. x 2 + 2xy – 8y2 + 2xz + 14yz – 3z2
2. 3x2 – 22xy – 4x + 8y + 7y2 + 1
3. 12x2 + 5x – 12y2 + 12y – 10xy – 3
4. 2x2 – 7xy + 3y2 + 5xz – 5yz + 2z2
5. x 2 + 3xy + 2y2 + 3xz + 5yz + 2z2
6. x 2 – 8xy + 15y2 + 2x – 4y – 3
7. x 4 – 13x2 + 36 8. x 4 + 3x2 – 2x + 3
9. x 4 + 2x3 + 3x2 + 2x + 1
Bài 1. Thực hiện phép tính:
a) 2xy(x2+ xy - 3y2)
b) (x + 2)(3x2 - 4x)
c) (x3 + 3x2 - 8x - 20) : (x + 2)
d) (x + y)2 + (x – y)2 – 2(x + y)(x - y) e) (a + b)3 - (a – b)3 – 2b3
f) 2x2(x – 2)+ 3x(x2 – x – 2) –5(3 – x2)
g) (x – 1)(x – 3) – (4 – x)(2x + 1) – 3x2 + 2x – 5
c: \(=\dfrac{x^3+2x^2+x^2+2x-10x-20}{x+2}\)
\(=x^2+x-10\)
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a. 12x3y – 24x2y2 + 12xy3 b. x2 – 6 x +xy – 6yc. 2x2 + 2xy x – y d. x3– 3x2 + 3x – 1 e. 3x2 – 3y2 – 12x – 12yf. x2 – 2xy – x2 + 4y2 g. x2 + 2x + 1 – 16 h.x2 – 2x – 4y2 + 1i. x2 – 2x –3j. x2 + 4x –12 k. x2 – 8 x – 9l. x2 + x – 6 a. 12x3y – 24x2y2 + 12xy3 b. x2 – 6 x +xy – 6yc. 2x2 + 2xy x – y d. x3– 3x2 + 3x – 1 e. 3x2 – 3y2 – 12x – 12yf. x2 – 2xy – x2 + 4y2 g. x2 + 2x + 1 – 16 h.x2 – 2x – 4y2 + 1i. x2 – 2x –...
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a. 12x3y – 24x2y2 + 12xy3 b. x2 – 6 x +xy – 6y c. 2x2 + 2xy x – y d. x3– 3x2 + 3x – 1 e. 3x2 – 3y2 – 12x – 12y f. x2 – 2xy – x2 + 4y2
| g. x2 + 2x + 1 – 16 h.x2 – 2x – 4y2 + 1 i. x2 – 2x –3 j. x2 + 4x –12 k. x2 – 8 x – 9 l. x2 + x – 6
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a.
$12x^3y-24x^2y^2+12xy^3=12xy(x^2-2xy+y^2)=12xy(x-y)^2$
b.
$x^2-6x+xy-6y=(x^2+xy)-(6x+6y)=x(x+y)-6(x+y)=(x-6)(x+y)$
c.
$2x^2+2xy-x-y=2x(x+y)-(x+y)=(x+y)(2x-1)$
d.
$x^3-3x^2+3x-1=(x-1)^3$
e.
$3x^2-3y^2-12x-12y=(3x^2-3y^2)-(12x+12y)$
$=3(x-y)(x+y)-12(x+y)=(x+y)[3(x-y)-12]=3(x-y)(x-y-4)$
f.
$x^2-2xy-x^2+4y^2=4y^2-2xy=2y(2y-x)$
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g.
$x^2+2x+1=(x+1)^2$
h. Không phân tích được thành nhân tử
i.
$x^2-2x-3=(x^2-3x)+(x-3)=x(x-3)+(x-3)=(x+1)(x-3)$
j.
$x^2+4x-12=(x^2-2x)+(6x-12)=x(x-2)+6(x-2)=(x-2)(x+6)$
k.
$x^2-8x-9=(x^2+x)-(9x+9)=x(x+1)-9(x+1)=(x+1)(x-9)$
l.
$x^2+x-6=(x^2+3x)-(2x+6)=x(x+3)-2(x+3)=(x-2)(x+3)$
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a. (2x4 - x3 + 4x - 2) : (2x-1)
b. (2x3 - x2 -5x - 2) : (x-2)
c. (-6a3 + a2 + 26a – 21): (2a – 3)
d. (x4 - 3x2 - 10x - 6) : (x2 - 2x +3)
a: \(=\dfrac{x^3\left(2x-1\right)+2\left(2x-1\right)}{2x-1}=x^3+2\)
b: \(=\dfrac{2x^3-4x^2+3x^2-6x+x-2}{x-2}=2x^2+3x+1\)
d: \(=\dfrac{x^4-2x^3+3x^2+2x^3-4x^2+6x-x^2+2x-3}{x^2-2x+3}=x^2+2x-1\)
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Phân tích đa thức thành nhân tử.
a,3x^2-3xy-5x+5y
b,x^2+4x-45
c,3y^3+6xy^2+3x^2y
d,x^3-3x^2-4x+12
e,x^3+3x^2+3x+1
f,x^2-3x+xy-3y
g,x^2-2xy+y^2-4
h,x^2-2xy+y^2-z^2
i,3x^2+6xy+3y^2-3z^2
HUHU. AI GIÚP EM VỚI. EM CẦN NỘP GẤP.
Bài 9: Phân tích đa thức thành nhân tử1, 5x2 – 10xy + 5y2 – 20z2 2, 16x – 5x2 – 3 3, x2 – 5x + 5y – y24, 3x2 – 6xy + 3y2 – 12z25, x2 + 4x + 3 6, (x2 + 1)2 – 4x2 7, x2 – 4x – 5
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Bài 9: Phân tích đa thức thành nhân tử
1, 5x2 – 10xy + 5y2 – 20z2 2, 16x – 5x2 – 3 3, x2 – 5x + 5y – y2 | 4, 3x2 – 6xy + 3y2 – 12z2 5, x2 + 4x + 3 6, (x2 + 1)2 – 4x2 7, x2 – 4x – 5
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1.\(=5\left(x^2-2xy+y^2-4z^2\right)=5\left[\left(x+y\right)^2-\left(2z\right)^2\right]=5\left(x+y-2z\right)\left(x+y+2z\right)\)
2. \(=\left(-5x^2+15x\right)+\left(x-3\right)=-5x\left(x-3\right)+\left(x-3\right)=\left(1-5x\right)\left(x-3\right)\)
3. \(=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x-y\right)\left(x+y-5\right)\)
4.\(=3\left(x^2-2xy+y^2-4z^2\right)=3\left[\left(x-y\right)^2-\left(2z\right)^2\right]=3\left(x-y-2z\right)\left(x-y+2z\right)\)
5. \(=\left(x^2+x\right)+\left(3x+3\right)=x\left(x+1\right)+3\left(x+1\right)=\left(x+1\right)\left(x+3\right)\)
6. \(=\left(x^2-2x+1\right)\left(x^2+2x+1\right)=\left(x-1\right)^2\left(x+1\right)^2\)
7. \(=\left(x^2+x\right)-\left(5x+5\right)=x\left(x+1\right)-5\left(x+1\right)=\left(x-5\right)\left(x+1\right)\)
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\(1,=5\left[\left(x-y\right)^2-4z^2\right]=5\left(x-y-2z\right)\left(x-y+2z\right)\\ 2,=-5x^2+15x+x-3=\left(x-3\right)\left(1-5x\right)\\ 3,=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x-y\right)\left(x+y-5\right)\\ 4,=3\left[\left(x-y\right)^2-4z^2\right]=3\left(x-y-2z\right)\left(x-y+2z\right)\\ 5,=x^2+x+3x+3=\left(x+3\right)\left(x+1\right)\\ 6,=\left(x^2+2x+1\right)\left(x^2-2x+1\right)=\left(x-1\right)^2\left(x+1\right)^2\\ 7,=x^2+x-5x-5=\left(x+1\right)\left(x-5\right)\)
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Bài 1: Thực hiện phép tính:
a) 2x.(3x + 3) b) 5x.(3x2-2x + 1) c) 3x2(2x +4)
d) 5x2.(3x2 + 4x – 1) e) (x-1).(2x +3) f) (x+2).(3x-5)
Bài 2: Tìm x, biết:
a) 3x(x+1) – 3x2 = 6
b) 3x(2x+1) – (3x +1).(2x-3) = 10
Bài 1:
\(a,=6x^2+6x\\ b,=15x^3-10x^2+5x\\ c,=6x^3+12x^2\\ d,=15x^4+20x^3-5x^2\\ e,=2x^2+3x-2x-3=2x^2+x-3\\ f,=3x^2-5x+6x-10=3x^2+x-10\)
Bài 2:
\(a,\Leftrightarrow3x^2+3x-3x^2=6\\ \Leftrightarrow3x=6\Leftrightarrow x=2\\ b,\Leftrightarrow6x^2+3x-6x^2+9x-2x-3=10\\ \Leftrightarrow10x=13\Leftrightarrow x=\dfrac{13}{10}\)
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Bài 1: Thực hiện phép tính:
a) (2x4-x3 5x-6x2-1):(1-2x)
b)(x3-3x2 3x-2):(x2-x 1)
c) (2x3 5x2-2x 3):(2x2-x 1)
d)\(\dfrac{5x y^2}{x^2y}\) \(\dfrac{5y-x^2}{xy^2}\)
e)\(\dfrac{27-x^3}{5x 5}\):\(\dfrac{2x-6}{3x 3}\)
f)\(\dfrac{x 2}{4x 24}\).\(\dfrac...
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