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\(2ax-bx+3cx-2a+b-3c\\ =x\left(2a-b+3c\right)-\left(2a-b+3c\right)\\ =\left(x-1\right)\left(2a-b+3c\right)\)
\(ax-bx-2cx-2a+2b+4c\\ =x\left(a-b-2c\right)-2\left(a-b-2c\right)\\ =\left(x-2\right)\left(a-b-2c\right)\)
\(3ax^2+3bx^2+ax+bx+5a+5b\\ =3x^2\left(a+b\right)+x\left(a+b\right)+5\left(a+b\right)\\ =\left(3x^2+x+5\right)\left(a+b\right)\)
\(ax^2-bx^2-2ax+2bx-3a+3b\\ =x^2\left(a-b\right)-2x\left(a-b\right)-3\left(a+b\right)\\ =\left(x^2-2x-3\right)\left(a+b\right)\\ =\left(x+1\right)\left(x-3\right)\left(a+b\right)\)
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A = 4acx + 4bcx + 4ax + 4bx ( đã sửa '-' )
= 4x( ac + bc + a + b )
= 4x[ c( a + b ) + ( a + b ) ]
= 4x( a + b )( c + 1 )
B = ax - bx + cx - 3a + 3b - 3c
= x( a - b + c ) - 3( a - b + c )
= ( a - b + c )( x - 3 )
C = 2ax - bx + 3cx - 2a + b - 3c
= x( 2a - b + 3c ) - ( 2a - b + 3c )
= ( 2a - b + 3c )( x - 1 )
D = ax - bx - 2cx - 2a + 2b + 4c
= x( a - b - 2c ) - 2( a - b - 2c )
= ( a - b - 2c )( x - 2 )
E = 3ax2 + 3bx2 + ax + bx + 5a + 5b
= 3x2( a + b ) + x( a + b ) + 5( a + b )
= ( a + b )( 3x2 + x + 5 )
F = ax2 - bx2 - 2ax + 2bx - 3a + 3b
= x2( a - b ) - 2x( a - b ) - 3( a - b )
= ( a - b )( x2 - 2x - 3 )
= ( a - b )( x2 + x - 3x - 3 )
= ( a - b )[ x( x + 1 ) - 3( x + 1 ) ]
= ( a - b )( x + 1 )( x - 3 )
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3a\(x\)2 + 3b\(x\)2 + a\(x\) + b\(x\) + 5a + 5b
= (3a\(x^2\) + 3b\(x^2\)) + (a\(x\) + b\(x\)) + (5a + 5b)
= 3\(x^2\)(a + b) + \(x\)(a +b) + 5(a + b)
= (a + b)( 3\(x^2\) + \(x\) + 5)
= (a + b)(3\(x^2\) + \(x\) + 5)2
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ax2-5x2-ax+5x+a-5
=x^2(a-5)-x(a-5)+(a-5)
=(a-5)(x^2-x+1)
cậu ghi sai đề rồi phải là
3ax2+3bx2+ax+bx+5a+5b
=3x^2(a+b)+x(a+b)+5(a+b)
=(a+b)(3x^2+x+5)
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d) \(ax^2-5x^2-ax+5x+a-5=\left(ax^2-ax+a\right)+\left(-5x^2+5x-5\right)\)
\(=a\left(x^2-x+1\right)-5\left(x^2-x+1\right)=\left(a-5\right)\left(x^2-x+1\right)\)
e) \(ax-bx-2cx-2a+2b+4c=x\left(a-b-2c\right)-2\left(a-b-2c\right)\)
\(=\left(x-2\right)\left(a-b-2c\right)\)
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a ) \(6a^2y-3aby+4a^2x-2abx\)
\(=3ay\left(2a-b\right)+2ax\left(2a-b\right)\)
\(=\left(3ay+2ax\right)\left(2a-b\right)\)
\(=a\left(3y+2x\right)\left(2a-b\right)\)
b ) \(ax-bx-2cx-2a+2b+4c\)
\(=a\left(x-2\right)-b\left(x-2\right)-2c\left(x-2\right)\)
\(=\left(a-b-2c\right)\left(x-2\right)\)
c ) \(x^9+1\)
\(=\left(x^3\right)^3+1\)
\(=\left(x^3+1\right)\left(x^6-x^2+1\right)\)
\(=\left(x+1\right)\left(x^2-x+1\right)\left(x^6-x^3+1\right)\)
d ) \(25x^2-20xy+4y^2\)
\(=\left(5x-2y\right)^2\)
e ) \(x^2+2xy+y^2-25\)
\(=\left(x+y\right)^2-25\)
\(=\left(x+y-5\right)\left(x+y+5\right)\)
\(1,3ax^2+3bx^2+ax+bx+5a+5b\)
\(=3x^2\left(a+b\right)+x\left(a+b\right)+5\left(a+b\right)=\left(a+b\right)\left(3x^2+x+5\right)\)
\(2,ax-bx-2cx-2a+2b+4c=x\left(a-b-2c\right)-2\left(a-b-2c\right)=\left(x-2\right)\left(a-b-2c\right)\)