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Trả lời:
a, \(-xy.\left(x^2+2xy-3\right)=-x^3y-2x^2y^2+3xy\)
b, \(\left(12x^6y^5-3x^3y^4+4x^2y\right):6x^2y\)
\(=12x^6y^5:6x^2y^2-3x^3y^4:6x^2y+4x^2y+6x^2y\)
\(=2x^4y^3-\frac{1}{2}xy^3+\frac{2}{3}\)
a.\(\left(-xy\right)\left(x^2+2xy-3\right)=-x^3y-2x^2y^2+6xy\)
b.\(\left(12x^6y^5-3x^3y^4+4x^2y\right):6x^2y=2x^4y^4-\frac{1}{2}xy^3+\frac{2}{3}\)
Trả lời:
a, 3x2y - 6xy = 3xy ( x - 2 )
b, x2 - y2 - 9x + 9y
= ( x2 - y2 ) - ( 9x - 9y )
= ( x - y )( x + y ) - 9 ( x - y )
= ( x - y )( x + y - 9 )
c, x3 - 6x2 - y2x + 9x
= x ( x2 - 6x - y2 + 9 )
= x [ ( x2 - 6x + 9 ) - y2 ]
= x [ ( x - 3 )2 - y2 ]
= x ( x - 3 - y )( x - 3 + y )
3x2y - 6xy = 3xy( x - 2 )
x2 - y2 - 9x + 9y = ( x - y )( x + y ) - 9( x - y ) = ( x - y )( x + y - 9 )
x3 - 6x2 - y2x + 9x = x( x2 - 6x - y2 + 9 ) = x[ ( x - 3 )2 - y2 ] = x( x - y - 3 )( x + y - 3 )
Trả lời:
a) x2 + 4y2 + 4xy = x2 + 2.x.2y + (2y)2 = ( x + 2y )2
b) \(\frac{1}{64}-27x^3=\left(\frac{1}{4}\right)^3-\left(3x\right)^3=\left(\frac{1}{4}-3x\right)\left(\frac{1}{16}+\frac{3}{4}x+9x^2\right)\)
c) x3 - 6x2 + 12x - 8 = x3 - 3.x2.2 + 3.x.22 - 23 = ( x - 2 )3
d) x2 - x - y2 - y = ( x2 - y2 ) - ( x + y ) = ( x - y )( x + y ) - ( x + y ) = ( x + y )( x - y - 1 )
e) 5x - 5y + ax - ay = ( 5x - 5y ) + ( ax - ay ) = 5 ( x - y ) + a ( x - y ) = ( x - y )( 5 + a )
a)\(9x^2y^2+15x^2y-21xy^2\)
=\(3xy\left(3xy+5x-7y\right)\)
b)\(3x^2\left(x+1\right)-2\left(x+1\right)\)
=\(\left(3x^2-2\right)\left(x+1\right)\)
c)\(4x^2\left(x-2y\right)-20x\left(2y-x\right)\)
=\(4x^2\left(x-2y\right)+20x\left(x-2y\right)\)
=\(\left(4x^2+20x\right)\left(x-2y\right)\)
=\(4x\left(x+5\right)\left(x-2y\right)\)
a. ta có :
\(9x^2y^2+15x^2y-21xy^2=3xy\left[3xy+5x-7y\right]\)
b.\(3x^2\left(x+1\right)-2\left(x+1\right)=\left(x+1\right)\left[3x^2-2\right]\)
\(4x^2\left(x-2y\right)+20x\left(x-2y\right)=\left(x-2y\right)\left(4x^2+20x\right)=4x\left(x-2y\right)\left(x+5\right)\)
3x3 + 10x2 + 2 = 3x3 + x2 + 9x2 + 3x - 3x - 1 + 3
= x2( 3x + 1 ) + 3x( 3x + 1 ) - ( 3x + 1 ) + 3
= ( 3x + 1 )( x2 + 3x - 1 ) + 3
Vì ( 3x + 1 )( x2 + 3x - 1 ) ⋮ ( 3x + 1 )
=> 3 ⋮ ( 3x + 1 ) <=> ( 3x + 1 ) ∈ Ư(3) ( đến đây bạn tự xét giá trị nhé )