Phân tích thành nhân tử:
a) 5x - 20y
b) 5x (x - 1) -3x (x-1)
c) x(x+y) -5x -5y
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a) 85 .12,7 + 5.3.12,7 = 12,7 . ( 85 + 5.3 ) = 12,7 . (85+15) = 12,7 . 100 = 1270
b) 52.143 - 52.39 - 8.26 = 52.143 - 52.39 - 4.2.26 = 52.143 - 52.39 - 4.52 = 52.( 143 -39 - 4 ) = 52 . 100 = 5200
phân tích :
5x - 20y = 5 .(x - 4y)
5x(x-1)-3x.(x-1) = (x-1).(5x-3x) = 2x(x-1) hoặc 5x(x-1)-3x(x-1) = x(x-1)(5-3) = 2x(x-1)
x.(x+y)-5x-5y = x(x+y) - 5 (x+y) = (x+y)(x-5)
a: \(x^4+2x^3+x^2=x^2\left(x+1\right)^2\)
b: \(5x^2+5xy-x-y\)
\(=5x\left(x+y\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(5x-1\right)\)
1A:
a: \(x^3+2x=x\left(x^2+2\right)\)
b: \(3x-6y=3\left(x-2y\right)\)
c: \(5\left(x+3y\right)-15x\left(x+3y\right)\)
\(=5\left(x+3y\right)\left(1-3x\right)\)
d: \(3\left(x-y\right)-5x\left(y-x\right)\)
\(=3\left(x-y\right)+5x\left(x-y\right)\)
\(=\left(x-y\right)\left(5x+3\right)\)
1A. a. x(x2+2)
b. 3(x-2y)
c. 5(x+3y)(1-3x)
d. (x-y) (3-5x)
1B. a. 2x(2x-3)
b.xy(x2-2xy+5)
c. 2x(x+1)(x+2)
d. 2x(y-1)+2y(y-1)=2(y-1)(x-y)
a: \(=\dfrac{2}{5}\left(xy-x-y^2+1\right)\)
\(=\dfrac{2}{5}\left[x\left(y-1\right)-\left(y-1\right)\left(y+1\right)\right]\)
\(=\dfrac{2}{5}\left(y-1\right)\left(x-y-1\right)\)
b: \(=x\left(x^2+2xy+y^2-9\right)\)
\(=x\left(x+y-3\right)\left(x+y+3\right)\)
b ) 5 x ( x - 1 ) - 3x ( x - 1 )
= ( 5x - 3x ) ( x - 1 )
= 2x ( x - 1 )
c ) x ( x + y ) - 5 x - 5y
= x ( x + y ) - 5 ( x + y )
= ( x - 5 ) (x + y )
d ) x ^ 2 + xy + x
= x ( x + y + 1 )
e ) x ( x - y ) + y ( y - x )
= x ( x - y ) - y ( x - y )
= ( x - y ) ( x -y )
= ( x - y ) 2
a, 5x(x-1)-3x(x-1)=(5x-3x)(x-1)=2x(x-1)
b, x(x+y)-5x-5y=x(x+y)-5(x+y)=(x-5)(x+y)
c, x2+xy+x=x(x+y+1)
d, x(x-y)+y(y-x)=x(x-y)-y(x-y)=(x-y)(x-y)=(x-y)2
b)5x(x-1)-3x(x-1)=x(x-1).(5-3)=x(x-1).2
c)x(x+y)-5x-5y=x(x+y)-(5x+5y)=x(x+y)-[5(x+y)[=(x+y).(x-5)
d)x^2+xy+x=x(x+y+1)
e)x(x-y)+y(y-x)=x(x-y)-(x-y).y=(x-y).(x-y)
a)5x-20y
=5x-4*5y
=5(x-4y)
b)x(x-1)-3x(x-1)
=(x-3x)(x-1)
c)x(x+y)-5x-5y
=x(x+y)-5(x+y)
=(x-5)(x+y)
a, \(\left(3x-6y\right)x+y\left(x-2y\right)=\left(3x+y\right)\left(x-2y\right)\)
b, \(3\left(x-y\right)-5x\left(y-x\right)=\left(3+5x\right)\left(x-y\right)\)
c, \(\dfrac{2}{5}x\left(y-1\right)+\dfrac{2}{5}y\left(1-y\right)=\left(\dfrac{2}{5}x-\dfrac{2}{5}y\right)\left(y-1\right)=\dfrac{2}{5}\left(x-y\right)\left(y-1\right)\)
d, \(x\left(x-1\right)-y\left(1-x\right)=\left(x+y\right)\left(x-1\right)\)
a) \(5x-20y\)
\(=5\left(x-4y\right)\)
b) \(5x\left(x-1\right)-3x\left(x-1\right)\)
\(=2x\left(x-1\right)\)
c) \(x\left(x+y\right)-5x-5y\)
\(=x\left(x+y\right)-5\left(x+y\right)\)
\(=\left(x-5\right)\left(x+y\right)\)