82) phân tích các đa thức sau thành nhân tử 1) 6x^3 -9x^2 2) x^3-x^4 3) 4x^2y -8xy^2+ 18x^2y^2 4) -8x^4y^3 -12x^2y^4 +20x^3y^4 5) 18x^2y -12x^3 6) 3xy^2+ 6xy^2 7) x^m+2 -x^m 8) 5x^m+2 +10x^2
Chia đa thức cho đơn thức
a, (8x^4 - 4x^3 +x^2) : 2x^2
b, 2x^4 - x^3 + 3x^2) : (-1/3x^2)
c, (-18x^3y^5 + 12x^2y^2 - 6xy^3) : 6xy
d,(3/4x^3y^6 + 6/5x^4y^5 - 9/10x^5y) : (-3/5x^3y)
giúp mìn với ạ
\(a.\left(8x^4-4x^3+x^2\right):2x^2=4x^2-2x+\frac{1}{2}\)
\(b.\left(2x^4-x^3+3x^2\right):\left(-\frac{1}{3x^2}\right)=-6x^6+3x^5-9x^4\)
\(c.\left(-18x^3y^5+12x^2y^2-6xy^3\right):6xy=-3x^2y^4+2xy-y^2\)
\(d.\left(\frac{3}{4x^3y^6}+\frac{6}{5x^4y^5}-\frac{9}{10x^5y}\right):-\frac{3}{5x^3y}=-\frac{5}{4y^5}-\frac{2}{xy^4}-\frac{3}{2x^2}\)
Phân tích các đa thức sau thành nhân tử:
a,x^2-4xy+4y^2
b,4x^4+9y^2-12x^2y
c,x^2-3xy+x-3y
d,x^3-x^2-5x+125
e,x^2-y^2+6x+9
f,x^3+3x^2-9x-27
g,x^2-4y^2+4y-1
h,x^4+3x^3-9x-9
i,8x^3-36x^2y+54xy^2-27y^3
Phân tích các đa thức sau thành nhân tử:
a,x^2-4xy+4y^2
b,4x^4+9y^2-12x^2y
c,x^2-3xy+x-3y
d,x^3-x^2-5x+125
e,x^2-y^2+6x+9
f,x^3+3x^2-9x-27
g,x^2-4y^2+4y-1
h,x^4+3x^3-9x-9
i,8x^3-36x^2y+54xy^2-27y^3
phân tích đa thức thành nhân tử
\(a)3x^3+6x^2y \)
\(b)2x^3-6x^2\)
\(c)18x^2-20xy\)
\(d)xy+y^2-x-y \)
\(e)(x^2y^2-8)^2-1\)
\(f)x^2-7x-8\)
\(g)10x^2(2x-y)+6xy(y-2x)\)
\(h)x^2-2x+1-y^2\)
\(i)2x(x+2)+x^2(-x-2)\)
\(k)-9+6x-x^2\)
\(l)8xy-2x^2-8y^2\)
\(m)3x^2+5x-3y^2-5y\)
a) 3x³ + 6x²y
= 3x².(x + 2y)
b) 2x³ - 6x²
= 2x².(x - 2)
c) 18x² - 20xy
= 2x.(9x - 10y)
d) xy + y² - x - y
= (xy + y²) - (x + y)
= y(x + y) - (x + y)
= (x + y)(y - 1)
e) (x²y² - 8)² - 1
= (x²y² - 8 - 1)(x²y² - 8 + 1)
= (x²y² - 9)(x²y² - 7)
= (xy - 3)(xy + 3)(x²y² - 7)
f) x² - 7x - 8
= x² - 8x + x - 8
= (x² - 8x) + (x - 8)
= x(x - 8) + (x - 8)
= (x - 8)(x + 1)
a: \(3x^3+6x^2y\)
\(=3x^2\cdot x+3x^2\cdot2y=3x^2\left(x+2y\right)\)
b: \(2x^3-6x^2=2x^2\cdot x-2x^2\cdot3=2x^2\left(x-3\right)\)
c: \(18x^2-20xy=2x\cdot9x-2x\cdot10y=2x\left(9x-10y\right)\)
d: \(xy+y^2-x-y\)
\(=y\left(x+y\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(y-1\right)\)
e: \(\left(x^2y^2-8\right)^2-1\)
\(=\left(x^2y^2-8-1\right)\left(x^2y^2-8+1\right)\)
\(=\left(x^2y^2-7\right)\left(x^2y^2-9\right)\)
\(=\left(x^2y^2-7\right)\left(xy-3\right)\left(xy+3\right)\)
f: \(x^2-7x-8\)
\(=x^2-8x+x-8\)
\(=x\left(x-8\right)+\left(x-8\right)=\left(x-8\right)\left(x+1\right)\)
g: \(10x^2\left(2x-y\right)+6xy\left(y-2x\right)\)
\(=2x\cdot\left(2x-y\right)\cdot5x-2x\cdot\left(2x-y\right)\cdot3y\)
\(=2x\left(2x-y\right)\left(5x-3y\right)\)
h: \(x^2-2x+1-y^2\)
\(=\left(x-1\right)^2-y^2\)
\(=\left(x-1-y\right)\left(x-1+y\right)\)
i: \(2x\left(x+2\right)+x^2\left(-x-2\right)\)
\(=2x\left(x+2\right)-x^2\left(x+2\right)\)
\(=\left(x+2\right)\left(2x-x^2\right)=x\cdot\left(x+2\right)\left(2-x\right)\)
k: \(-x^2+6x-9=-\left(x^2-6x+9\right)\)
\(=-\left(x^2-2\cdot x\cdot3+3^2\right)=-\left(x-3\right)^2\)
l: \(-2x^2+8xy-8y^2\)
\(=-2\left(x^2-4xy+4y^2\right)\)
\(=-2\left(x-2y\right)^2\)
m: \(3x^2+5x-3y^2-5y\)
\(=3\left(x^2-y^2\right)+5\left(x-y\right)\)
\(=3\left(x-y\right)\left(x+y\right)+5\left(x-y\right)\)
\(=\left(x-y\right)\left(3x+3y+5\right)\)
g) 10x²(2x - y) + 6xy(y - 2x)
= 10x²(2x - y) - 6xy(2x - y)
= 2x(2x - y)(5x - 3y)
h) x² - 2x + 1 - y²
= (x² - 2x + 1) - y²
= (x - 1)² - y²
= (x - y - 1)(x + y - 1)
i) 2x(x + 2) + x² (-x - 2)
= 2x(x + 2) - x²(x + 2)
= x(x + 2)(2 - x)
k) -9 + 6x - x²
= -(x² - 6x + 9)
= -(x - 3)²
l) 8xy - 2x² - 8y²
= -2(x² - 4xy + 4y²)
= -2(x - 2y)²
m) 3x² + 5x - 3y² - 5y
= (3x² - 3y²) + (5x - 5y)
= 3(x² - y²) + 5(x - y)
= 3(x - y)(x + y) + 5(x - y)
= (x - y)[3(x + y) + 5]
= (x - y)(3x + 3y + 5)
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
1 phân tích đa thứ thành nhân tử:
a)6x^3y^2-12x^3y^4+18x^3y^5
b)3xy+y^2+6x+2y
2 tìm x biết:a)6x(x-8)=0
b)x^2+6x-6=0
3 cho biểu thức 3(x^3+y):(x^2-2xy+y^2)và thay x =2 và y=5
1)4x^5y^2-8x^4y^2+4x^3y^2 2)5x^4y^2-10x^3y^2+5x^2y^2 3)12x^2-12xy+3y^2 4)8x^3-8x^2y+2xy^2 5)20x^4y^2-20x^3y^3+5x^2y^4
1) \(4x^5y^2-8x^4y^2+4x^3y^2\)
\(=4x^3y^2\left(x^2-2x+1\right)\)
\(=4x^3y^2\left(x^2-2\cdot x\cdot1+1^2\right)\)
\(=4x^3y^2\left(x-1\right)^2\)
2) \(5x^4y^2-10x^3y^2+5x^2y^2\)
\(=5x^2y^2\left(x^2-2x+1\right)\)
\(=5x^2y^2\left(x^2-2\cdot x\cdot1+1^2\right)\)
\(=5x^2y^2\left(x-1\right)^2\)
3) \(12x^2-12xy+3y^2\)
\(=3\left(4x^2-4xy+y^2\right)\)
\(=3\left[\left(2x\right)^2-2\cdot2x\cdot y+y^2\right]\)
\(=3\left(2x-y\right)^2\)
4) \(8x^3-8x^2y+2xy^2\)
\(=2x\left(4x^2-4xy+y^2\right)\)
\(=2x\left[\left(2x\right)^2-2\cdot2x\cdot y+y^2\right]\)
\(=2x\left(2x-y\right)^2\)
5) \(20x^4y^2-20x^3y^3+5x^2y^4\)
\(=5x^2y^2\left(4x^2-4xy+y^2\right)\)
\(=5x^2y^2\left[\left(2x\right)^2-2\cdot2x\cdot y+y^2\right]\)
\(=5x^2y^2\left(2x-y\right)^2\)
1: 4x^5y^2-8x^4y^2+4x^3y^2
=4x^3y^2(x^2-2x+1)
=4x^3y^2(x-1)^2
2: \(=5x^2y^2\left(x^2-2x+1\right)=5x^2y^2\left(x-1\right)^2\)
3: \(=3\left(4x^2-4xy+y^2\right)=3\left(2x-y\right)^2\)
4: \(=2x\left(4x^2-4xy+y^2\right)=2x\left(2x-y\right)^2\)
5: \(=5x^2y^2\left(4x^2-4xy+y^2\right)=5x^2y^2\left(2x-y\right)^2\)
Phân tích đa thức thành nhân tử
1) 32X^4+1
2)X^8+3x^4+1
3)x^2+2xy-8y^2+2xz+14yz-3z^2
4)3x^2-22xy-4x+8y+7y^2+1
5)12x^2+5x-12y^2+12y-10xy-3
6)2x^2-7xy+3y^2+5xz-5yz+2z^2
7)x^2+3xy+2y^2+3xz+5yz=2z^2
8)x^2-8xy+15y^2+2x-4y-3
9)x^4-13x^2+36
10)4(x^2+15x+50)(x^2+18x+72)-3x^2
phân tích đa thức thành nhân tử
a)2x^2-2y^2-6x-6y
b)x^2-2x-15
c)3x^3-6x^2y^3+9x^2y^2
d)5x^2y^3-25x^3y^4+10x^3y^3
e)12x^2y-18xy^2-30Y^2
f)2x^2-2y^2-6x-6y
g)x^3+3x^2-3x-1
h)x^4-5x^2+4
đề dài nên T giải câu a thôi bn tự làm tiếp mấy câu khác nhé
2x^2 - 2y^2 - 6x - 6y
= 2(x^2-y^2) - 6(x+ y)
= 2(x-y)(x+y) - 6(x+y)
= (2(x-y)-6) (x+y)