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16 tháng 12 2017
chỉ cần rút ra là đc mà
\(5x^3y-10x^2y+5xy\)
=5xy(x^2-2x+1)
=5xy(x-1)^2
LT
14 tháng 12 2016
=(xy(8x+4+5y))/2xy -3x^2
=(8x+4+5y)/2 +3x^2
=(8x+4+5y)/2 + 6x^2 /2
=(8x+4+5y-6x^2)/2
PQ
1
30 tháng 11 2016
3(x2-2xy+y2):10(x-y)
3(x-y)2:10(x-y)
3(x-y):10
5(x2-xy+y2):(x+y)(x2-xy+y2)
5:x+y
ở nơi 5y thiếu ^2 nhé
MT
20 tháng 7 2015
a)x2-y2-5x+5y
=(x-y)(x+y)-5.(x-y)
=(x-y)(x+y-5)
b)5x3-5xy-10x2+10xy
=5x3+5xy-10x2
=5x.(x2+y-2x)
c)x3-3x2+1-3x
=x3+1-3x2-3x
=(x+1)(x2-x+1)-3x.(x+1)
=(x+1)(x2-x+1-3x)
=(x+1)(x2-4x+1)
d)3x2-6xy+3y2-12z2
=3.(x2-2xy+y2-4z2)
=3.[(x-y)2-4z2]
=3.(x-y-2z)(x-y+2z)
31 tháng 10 2022
Bài 2:
a: \(A=\left(2x-y\right)^2=\left(12-2\right)^2=100\)
b: \(=\left(x-3\right)^3=100^3=1000000\)
c: \(=\left(x-y\right)^2-9z^2\)
\(=\left(x-y-3z\right)\left(x-y+3z\right)\)
\(=\left(6+4-90\right)\left(6+4+90\right)=-80\cdot100=-8000\)
11 tháng 10 2017
a) 6x - 9 - x2
= -( x2 - 6x + 32)
= -(x-3)2
b) 5x3 - 10x2y + 5xy2
= 5x( x2 - 2xy + y2)
= 5x(x - y)2
c) 5x2 - 10xy + 5y2 - 20z2
= 5( x2 - 2xy + y2 - 4z2)
= 5[( x - y)2 - ( 2z)2]
= 5( x - y -2z).(x - y +2z)
d) x2 + 5x +6
=( x2 + 2.2x + 22 )+ (2 +x)
=( x +2)2 + ( x +2)
= ( x+2).( x + 2 + 1)
= ( x +2).( x +3)
e) a2 + 9a + 8
= a2 + a + 8a + 8
= a( a + 1) + 8( a +1)
= ( a +1).( a +8)
g) x2 -x -6
= x2 - 22 - x - 2
= ( x -2).(x +2) - ( x +2)
= ( x +2).( x -2 -1)
= ( x+2).( x -3)
f) x2 + 6x +5
= x2 + x + 5x + 5
= x( x +1) +5( x +1)
=( x +5).( x +1)
h) x3 - 3x +2
= x3 - x - 2x +2
= x( x2 -1) - 2( x -1)
= x(x -1).(x+1) - 2( x -1)
= ( x -1).( x2 +x -2)
GX
2
6 tháng 12 2022
a: =9-(x-y)^2
=(3-x+y)(3+x-y)
c: =x^2-2x-3x+6
=(x-2)(x-3)
G
31 tháng 10 2020
a) \(6x^3-12x^2y^2+6xy^3=6x.\left(x^2-2xy^2+y^3\right)\)
b) \(\left(x^2+4\right)^2-16=\left(x^2+4-4\right)\left(x^2+4+4\right)=x^2\left(x^2+8\right)\)
c) \(5x^2-5xy-10x+10y=\left(5x^2-5xy\right)-\left(10x-10y\right)=5x\left(x-y\right)-10\left(x-y\right)\)
\(=\left(x-y\right)\left(5x-10\right)=5\left(x-y\right)\left(x-2\right)\)
d) \(a^3-3a+3b-b^3=\left(a^3-b^3\right)-\left(3a-3b\right)=\left(a-b\right)\left(a^2+ab+b^2\right)-3.\left(a-b\right)\)
\(=\left(a-b\right)\left(x^2+ab+b^2-3\right)\)
e) \(x^2-2x-y^2+1=\left(x^2-2x+1\right)-y^2=\left(x-1\right)^2-y^2=\left(x-1-y\right)\left(x-1+y\right)\)
f) \(x^2-x-2=x^2+x-2x-2=\left(x^2+x\right)-\left(2x+2\right)=x\left(x+1\right)-2\left(x+1\right)\)
\(=\left(x+1\right)\left(x-2\right)\)
g) \(x^4-5x^2+4=x^4-4x^2+4-x^2=\left(x^4-4x^2+4\right)-x^2=\left(x^2-2\right)^2-x^2\)
\(=\left(x^2-2-x\right)\left(x^2-2+x\right)\)
j) \(x^3-x^3-2x^2-x=-2x^2-x=-\left(2x^2+x\right)=-x\left(2x+1\right)\)
k) \(\left(a^3-27\right)-\left(3-a\right)\left(6a+9\right)=\left(a-3\right).\left(a^2+3a+9\right)+\left(a-3\right)\left(6a+9\right)\)
\(\left(a-3\right)\left(a^2+3a+9+6a+9\right)=\left(a-3\right)\left(a^2+9a+18\right)\)
h) \(x^2\left(y-z\right)+y^2\left(z-x\right)+z^2\left(x-y\right)\)
\(=x^2y-x^2z+y^2z-y^2x+z^2x-z^2y\)
\(=\left(x^2y-y^2x\right)-\left(x^2z-y^2z\right)+\left(z^2x-z^2y\right)\)
\(=xy\left(x-y\right)-z\left(x^2-y^2\right)+z^2\left(x-y\right)\)
\(=xy\left(x-y\right)-z\left(x-y\right)\left(x+y\right)+z^2\left(x-y\right)\)
\(=\left(x-y\right)\left(xy-zx-zy+z^2\right)\)
\(=\left(x-y\right)\left[\left(xy-zx\right)-\left(zy-z^2\right)\right]\)
\(=\left(x-y\right)\left[x\left(y-z\right)-z\left(y-z\right)\right]\)
\(\left(x-y\right)\left(y-z\right)\left(x-z\right)\)
\(=5x\left(x^2+2xy+y^2\right)=5x\left(x+y\right)^2\)