phân tích : a) x^2 + y^2 -z^2 -9t^2-2xy+6zt
b) x^3z +x^2yz-x^2z^2-xyz^2
c) x^4+3x^3-9x-9
d) x^4 +3x^3-9x-27
e) x^3-3x^2+3x-1-8y^3
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31 tháng 7 2022
b: \(=abx^2+ab+a^2x+b^2x\)
\(=bx\left(ax+b\right)+a\left(ax+b\right)\)
\(=\left(ax+b\right)\left(bx+a\right)\)
c: \(=\left(x-1\right)^3-8y^3\)
\(=\left(x-1-2y\right)\left(x^2-2x+1+2xy-2y+4y^2\right)\)
d: \(=\left(x^2-3\right)\left(x^2+3\right)+3x\left(x^2-3\right)\)
\(=\left(x^2-3\right)\left(x^2+3x+2\right)\)
e: \(=\left(x+3\right)^2-y^2=\left(x+3+y\right)\left(x+3-y\right)\)
H
16 tháng 12 2018
\(10x\left(x-y\right)-6y\left(y-x\right)\)
\(=10x\left(x-y\right)+6x\left(x-y\right)\)
\(=\left(10x+6x\right)\left(x-y\right)\)
\(c,3x^2+5y-3xy-5x\)
\(=\left(3x^2-3xy\right)+\left(5y-5x\right)\)
\(=3x\left(x-y\right)-5\left(x-y\right)\)
\(=\left(3x-5\right)\left(x-y\right)\)
\(e,27+27x+9x^2=3\left(9+9x+x^2\right)\)
LD
18 tháng 9 2018
a) \(2xy+3z+6y+xz\)
\(=2xy+2.3y\)
\(=2y\left(x+3\right)+3z+xz\)
\(=2y\left(x+3\right)+z\left(x+3\right)\)
\(=\left(x+3\right)\left(2y+z\right)\)
c) \(x^4-9x^3+x^2-9x\)
\(=x\left(x^3-9x^2+x-9\right)\)
\(=x\left(x-9\right)\left(x^2+1\right)\)
2 tháng 10 2021
e: \(49-x^2-2xy-y^2\)
\(=49-\left(x+y\right)^2\)
\(=\left(7-x-y\right)\left(7+x+y\right)\)
d: \(16x^2-24xy+9y^2=\left(4x-3y\right)^2\)
19 tháng 7 2018
a) 5xy ( x - y ) - 2x + 2y
= 5xy ( x - y ) - 2 ( x - y )
= ( x - y ) ( 5xy - 2 )
b) 6x-2y-x(y-3x)
= 2 ( y - 3x ) - x ( y - 3x )
= ( y - 3x ( ( 2 - x )
c) x2 + 4x - xy-4y
= x ( x + 4 ) - y ( x + 4 )
( x + 4 ) ( x - y )
d) 3xy + 2z - 6y - xz
= ( 3xy - 6y ) + ( 2z - xz )
= 3y ( x - 2 ) + z ( x - 2 )
= ( x - 2 ) ( 3y + z )
19 tháng 7 2018
a,5xy(x-y)-2x+2y=5xy(x-y)-2(x-y)=(x-y)(5xy-2)
b,6x-2y-x(y-3x)=-2(y-3x)-x(y-3x)=(y-3x)(-2-x)
c,x^2+4x-xy-4y=x(x+4)-y(x+4)=(x+4)(x-y)
d,3xy+2z-6y-xz=(3xy-6y)+(2z-xz)=3y(x-2)+z(2-x)=3y(x-2)-z(x-2)=(x-2)(3y-z)
11)
a,4-9x^2=0
(2-3x)(2+3x)=0
2-3x=0=>x=2/3 hoặc 2+3x=0=>x=-2/3
b,x^2 +x+1/4=0
(x+1/2)^2 =0
x+1/2=0
x=-1/2
c,2x(x-3)+(x-3)=0
(x-3)(2x+1)=0
x-3=0=>x=3 hoặc 2x+1=0=>x=-1/2
d,3x(x-4)-x+4=0
3x(x-4)-(x-4)=0
(x-4)(3x-1)=0
x-4=0=>x=4 hoặc 3x-1=0=>x=1/3
e,x^3-1/9x=0
x(x^2-1/9)=0
x(x+1/3)(x-1/3)=0
x=0 hoặc x+1/3=0=>x=-1/3 hoặc x-1/3=0=>x=1/3
f,(3x-y)^2-(x-y)^2 =0
(3x-y-x+y)(3x-y+x-y)=0
2x(4x-2y)=0
4x(2x-y)=0
x=0hoặc 2x-y=0=>x=y/2
2 tháng 12 2018
a) \(3x^2-6x+9x^2\)
\(=12x^2-6x\)
\(=6x\left(2x-1\right)\)
b) hỏi chấm đề ?
c) \(3x^2+5y-3xy-5x\)
\(=3x\left(x-y\right)-5\left(x-y\right)\)
\(=\left(x-y\right)\left(3x-5\right)\)
d) \(3y^2-3z^2+3x^2-6xy\)
\(=3\left(y^2-z^2+x^2-2xy\right)\)
\(=3\left[\left(x-y\right)^2-z^2\right]\)
\(=3\left(x-y-z\right)\left(x-y+z\right)\)
e) \(16x^3+54y^3\)
\(=2\left(8x^3+27y^3\right)\)
\(=2\left(2x+3y\right)\left(4x^2-6xy+9y^2\right)\)
f) \(x^2-25-2xy+y^2\)
\(=\left(x-y\right)^2-5^2\)
\(=\left(x-y-5\right)\left(x-y+5\right)\)
g) \(x^5-3x^4-3x^3-x^2\)
\(=x^2\left(x^3-3x^2-3x-1\right)\)
a: \(=x^2-2xy+y^2-\left(z^2-6zt+9t^2\right)\)
\(=\left(x-y\right)^2-\left(z-3t\right)^2\)
\(=\left(x-y-z+3t\right)\left(x-y+z-3t\right)\)
c: \(=\left(x^4-9\right)+3x\left(x^2-3\right)\)
\(=\left(x^2-3\right)\left(x^2+3\right)+3x\left(x^2-3\right)\)
\(=\left(x^2-3\right)\left(x^2+3x+3\right)\)
d: \(x^4+3x^3-9x-27\)
\(=x^3\left(x+3\right)-9\left(x+3\right)\)
\(=\left(x+3\right)\left(x^3-9\right)\)