phân tích thành nhân tử
a) 4x^3 - 14x^2
b) 5y^10 + 15y^6
c) 9x^2 + 15x^2y - 21xy
d) 10x(x-y)-8y(y-x)
K
Khách
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31 tháng 1 2022
1: \(=2x^2\left(7x-2\right)\)
2: \(=5y^6\left(y^4+3\right)\)
3: \(=3xy\left(3xy-5x-7y\right)\)
4: \(=\left(x+1\right)\left(3x^2-2\right)\)
5: \(=\left(a+b+c\right)\left(a+b+c-ab-bc-ca-1\right)\)
6: \(=4x^2\left(x-2y\right)+20x\left(x-2y\right)\)
\(=4x\left(x-2y\right)\left(x+5\right)\)
7: \(=3x^2y\left(a-b+c\right)-2xy\left(a-b+c\right)\)
\(=xy\left(a-b+c\right)\left(3x-2\right)\)
21 tháng 8 2018
a) 3x - 3y
= 3 ( x- y )
b) 2x^2 + 5x^3 + x^2y
= x^2 ( 2+ 5x + y)
c) 14x^2 --21xy^2 + 28x^2y^2
= 7x ( 2x - 3y^2 + 4xy^2)
d) 4x^3 - 14x^2
= x^2 ( 4x - 14 )
e) 5y^10 + 15y^6
= 5y^6 (y^4 + 3 )
f) 9x^2y^2 + 15x^2y -21xy
= 3xy( 3xy + 5x - 7)
g) x( y-1 ) - y ((y-1)
=(y -1) (x-y)
23 tháng 8 2016
vào bệnh viện hoặc đến nơi khám chữa bệnh gần nhà nhất ko kịp thì die
7 tháng 10 2021
h) \(=3x\left(2y-3z\right)\left[x^2-5\left(2y-3z\right)\right]=3x\left(2y-3z\right)\left(x^2-10y+15z\right)\)
k) \(=\left(x+2\right)\left(3x-5\right)\)
l) \(=\left(18^2+3\right)\left(x+3\right)=327\left(x+3\right)\)
m) \(=7xy\left(2x-3y+4xy\right)\)
n) \(=2\left(x-y\right)\left(5x-4y\right)\)
KT
20 tháng 7 2018
a) \(4x^3-4x^2=4x^2\left(x-1\right)\)
b) mk chỉnh đề
\(9x^2y^2+15x^2y-21xy^2=3xy\left(3xy+5x-7y\right)\)
c) \(4x^2\left(x-2y\right)-20x\left(2y-x\right)=4x\left(x-2y\right)\left(x+5\right)\)
d) \(4x^2-4x+1=\left(2x-1\right)^2\)
e) bạn ktra lại đề
f) \(16x^2+24xy+9y^2=\left(4x+3y\right)^2\)
5 tháng 9 2017
a) \(5x^2\)\(\left(x-2y\right)\)\(-\)\(15x\)\(\left(x-2y\right)\)
\(=\left(x-2y\right)\left(5x^2-15x\right)\)
\(=5x\left(x-2y\right)\left(x-3\right)\)
b) \(3\left(x-y\right)\)\(-\)\(5x\left(y-x\right)\)
\(=3\left(x-y\right)+5x\left(x-y\right)\)
\(=\left(x-y\right)\left(3+5x\right)\)
c) \(10x\left(x-y\right)\)\(-\)\(8y\left(y-x\right)\)
\(=\)\(10x\left(x-y\right)+8y\left(x-y\right)\)
\(=\left(x-y\right)\left(10x+8y\right)\)
\(=2\left(5x+4\right)\left(x-y\right)\)
d) \(x^2\)\(\left(x-5\right)\)\(+\)\(4\)\(\left(5-x\right)\)
\(=x^2\)\(\left(x-5\right)\)\(-\)\(4\left(x-5\right)\)
\(=\left(x-5\right)\left(x^2-4\right)\)
\(=\left(x-5\right)\left(x-2\right)\left(x-2\right)\)
5 tháng 9 2017
a) \(5x^2\left(x-2y\right)-15x\left(x-2y\right)\)
\(=\left(x-2y\right)\left(5x^2-15x\right)\)
\(=\left(x-2y\right)\left(x-3\right)5x\)
b)\(3\left(x-y\right)-5x\left(y-x\right)\)
\(=3\left(x-y\right)+5x\left(x-y\right)\)
\(=\left(3+5x\right)\left(x-y\right)\)
c)\(10x\left(x-y\right)-8y\left(y-x\right)\)
\(=10x\left(x-y\right)+8y\left(x-y\right)\)
\(=\left(10x+8y\right)\left(x-y\right)\)
\(=2\left(5x+4y\right)\left(x-y\right)\)
d)\(x^2\left(x-5\right)+4\left(5-x\right)\)
\(=x^2\left(x-5\right)-4\left(x-5\right)\)
\(=\left(x^2-4\right)\left(x-5\right)\)
\(=\left(x-2\right)\left(x+2\right)\left(x-5\right)\)
13 tháng 12 2021
\(a,14x^2y-21xy^2+28x^2y^2=7xy\left(x-3y+4xy\right)\\ b,x\left(x+y\right)-5x-5y=x\left(x+y\right)-5\left(x+y\right)=\left(x+y\right)\left(x-5\right)\\ c,10x\left(x-y\right)-8\left(y-x\right)=10x\left(x-y\right)+8\left(x-y\right)=\left(x-y\right)\left(10x+8\right)=2\left(x-y\right)\left(5x+4\right)\)
\(d,\left(3x+1\right)^2-\left(x+1\right)^2=\left(3x+1-x-1\right)\left(3x+1+x+1\right)=2x\left(4x+2\right)=4x\left(2x+1\right)\)\(e,x^3+y^3+z^3-3xyz=\left(x+y+z\right)\left(x^2+y^2+z^2-xy-yz-zx\right)+3xyz-3xyz=\left(x+y+z\right)\left(x^2+y^2+z^2-xy-yz-zx\right)\)
a) \(4x^3-14x^2\)
\(=2x^2\left(2x-7\right)\)
b) \(5y^{10}+15y^6\)
\(=5y^6\left(y^4+3\right)\)
c) \(9x^2+15x^2y-21xy\)
\(=3x\left(3x+5xy-7y\right)\)
d) \(10x\left(x-y\right)-8y\left(y-x\right)\)
\(=10x\left(x-y\right)+8y\left(x-y\right)\)
\(=\left(x-y\right)\left(10x+8y\right)\)
\(=2\left(x-y\right)\left(5x+4y\right)\)
\(a,4x^3-14x^2\)
\(=2x^3.2x-2x^3.7\)
\(2x^2\left(2x-7\right)\)
\(b,5y^{10}+15y^6\)
\(5y^6.y^4+5y^6.3\)
\(=5y^6\left(y^4+3\right)\)
\(c,9x^2+15x^2y-21xy\)
\(=3x\left(3x+5xy-7y\right)\)
\(d,10x\left(x-y\right)-8y\left(y-x\right)\)
\(=10x\left(x-y\right)+8y\left(x-y\right)\)
\(=\left(x-y\right)\left(10x+8y\right)\)
\(=2\left(x-y\right)\left(5x+4y\right)\)