Question

Phân tích đa thức sau thành nhân tử

1, 5a²xy-10a³x-15ay

2, mxy-m²x+my

3, 2mx-4m²xy+6mx

4, a²b-2ab²+ab

5, 5a²b-2ab²+ab

6, -3x²y³-6x³y²-x²y²

7, 5x²y⁴-10x⁴y²+5x²y²

8, -2x³y⁴-4x⁴y³+2x³y³

9, 4x³y²-8x³y+16xy²-24

10, 12x³y-6xy+3x

11, 2(x-y)-a(x-y)

12, a(x-y)+b(x-y)

13, m(x+y)-n(x+y)

14, 2a(x+y)-4(x+y)

15, 3a(x+y)-6ab(x+y)

16, 5a²(x-y)+10a(x-y)

17, -2ab(x-y)-4a(x-y)

18, 3a(x-y)+2(x-y)

19, m(a-b)-m²(a-b)

20, mx(a+b)-m(a+b)

21, x(a-b)-y(b-a)

22, ab(x-5)-a²(5-x)

23, 2a²(x-y)-4a(y-x)

Answer 1

1, 5a²xy-10a³x-15ay = 5a( axy - 2a\(^2\)x - 3y )

2, mxy-m²x+my = m( xy - mx + y )

3, 2mx-4m²xy+6mx = 2mx( 1 - 2my + 3 ) = 2mx( 4 - 2my )

4, a²b-2ab²+ab = ab( a - 2b + 1 )

5, 5a²b-2ab²+ab = ab( 5a - 2b +1 )

6, -3x²y³-6x³y²-x²y² = -3x\(^2\)y\(^2\) ( y + 2x + 1 )

7, 5x²y⁴-10x⁴y²+5x²y² = 5x\(^{^2y^2}\)( y\(^2\) - 2x\(^2\) + 1 )

8, -2x³y⁴-4x⁴y³+2x³y³ = 2\(x^3y^3\) ( -y - 2x + 1 )

9, 4x³y²-8x³y+16xy²-24 = 4( x\(^3\)y\(^2\) - 2x\(^3\)y + 4 xy\(^2\) - 6 )

10, 12x³y-6xy+3x = 3x( 4x\(^2\)y - 2y + 1 )

11, 2(x-y)-a(x-y) = ( 2 - a ) ( x - y )

12, a(x-y)+b(x-y)= ( a + b ) ( x - y )

13, m(x+y)-n(x+y) = ( m - n ) ( x + y )

14, 2a(x+y)-4(x+y) = ( 2a - 4 )( x + y ) = 2( a - 2 ) ( x + y )

15, 3a(x+y)-6ab(x+y) = ( 3a - 6ab )( x + y ) = 3a( 1 - 2b ) ( x + y )

16, 5a²(x-y)+10a(x-y) = ( 5a\(^2\)+10a )( x - y ) = 5a( a + 2 ) ( x - y )

17, -2ab(x-y)-4a(x-y) = ( -2ab - 4a )( x - y ) = -2a( b + 2 )( x - y )

18, 3a(x-y)+2(x-y) = ( 3a + 2 ) ( x - y )

19, m(a-b)-m²(a-b) = ( m - m\(^2\) ) ( a - b ) = m( 1 - m ) ( a - b )

20, mx(a+b)-m(a+b) = ( mx - m ) ( a + b ) = m( x - 1 )( a + b )

21, x(a-b)-y(b-a) = x( a - b ) + y( a - b ) = ( x + y ) ( a - b )

22, ab(x-5)-a²(5-x) = ab( x - 5 ) + a\(^2\)( x - 5 ) = ( ab + a\(^2\) ) ( x - 5 ) = a( b + a )( x - 5 )

23, 2a²(x-y)-4a(y-x)= 2a\(^2\)( x - y ) + 4a( x - y )=( 2a\(^2\) + 4a ) ( x - y )= 2a( a + 2 )( x - y )

Answer 2

Đăng ít thôi =))

a. \(5a^2xy-10a^3x-15ay=5a\left(axy-2a^2x-3y\right)\)

b. \(mxy-m^2x+my=m\left(xy-mx+y\right)\)

c. \(2mx-4m^2xy+6mx=2mx\left(1-2my+3\right)=2mx\left(-2my+4\right)\)

d. \(a^2b-2ab^2+ab=ab\left(a-2b+1\right)\)

e. \(5a^2b-2ab^2+ab=ab\left(5a-2b+1\right)\)

g.

Answer 3

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