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\(3x^4+11x^3-7x^2-2x+1=\left(3x^4+12x^3-3x^2-3x\right)+\left(-x^3-4x^2+x+1\right)\)
\(=\left(3x-1\right)\left(x^3+4x^2-x-1\right)\)
\(5x^2+10xy=5x\left(x+2y\right)\)
\(x^2+xy-3x-3y=x\left(x+y\right)-3\left(x+y\right)=\left(x-3\right)\left(x+y\right)\)
\(x^2+2x+1-y^2=\left(x+1\right)^2-y^2=\left(x+1-y\right)\left(x+1+y\right)\)
\(x^2-7x+6=x^2-x-6x+6=x\left(x-1\right)-6\left(x-1\right)=\left(x-1\right)\left(x-6\right)\)
1) \(2\left(x-1\right)^3-\left(x-1\right)=\left(x-1\right)\left(2\left(x-1\right)^2-1\right)\)
2) \(y\left(x-2y\right)^2+xy^2\left(2y-x\right)=\left(2y-x\right)\left(2\left(2y-x\right)+1\right)=\left(2y-x\right)\left(4y-2x+1\right)\)
3) \(xy\left(x+y\right)-x-y=xy\left(x+y\right)-\left(x+y\right)=\left(x+y\right)\left(xy-1\right)\) (xem lại đề sửa -2x thành -x mới đúng)
4) \(xy\left(x-3y\right)-2x+6y=xy\left(x-3y\right)-2\left(x-3y\right)=\left(x-3y\right)\left(xy-2\right)\)
1.\(x^2-7x+6\)\(=x^2-6x-x+6\)\(=x\left(x-6\right)-\left(x-6\right)\)\(=\left(x-1\right)\left(x-6\right)\)
2.\(y^2+xy-2x^2=y+2xy-xy-2x^2\)\(=y\left(y-x\right)+2x\left(y-x\right)\)\(=\left(y+2x\right)\left(y-x\right)\)
Học tốt !
1. x2 - 7x + 6
= x2 - x - 6x + 6
= x( x - 1 ) - 6( x - 1 )
= ( x - 6 )( x - 1 )
2. y2 + xy - 2x2
= y2 - xy + 2xy - 2x2
= y( y - x ) + 2x( y - x )
= ( y + 2x )( y - x )
\(1,2x^2-3x-2\)
\(=2x^2-4x+x-2\)
\(=2x\left(x-2\right)+\left(x-2\right)\)
\(=\left(2x+1\right)\left(x-2\right)\)
\(2,4x^2-7x-2\)
\(=4x^2-8x+x-2\)
\(=4x\left(x-2\right)+x-2\)
\(\left(4x+1\right)\left(x-2\right)\)
1.
7x(2x-1)=14x2-7x
2
a. x2+2x=x(x+2)
b.x2-xy+3x-3y
=x(x-y)+3(x-y)
=(x+3)(x-y)
Câu 2:
1. 2x/2x-5 - 5/2x-5
=2x-5/2x-5
=1
2. (6x3-7x2-x+2) : (x-1)=6x2-x-2
sửa đề câu a đi
\(x^2-6x-7=x^2+x-7\left(x+1\right)=\left(x-7\right)\left(x+1\right)\)
+)\(x^3+2x^2+xy^2-4x\)
\(=x^3+xy^2+2x^2-4x\)
\(=x\left(x^2+y^2\right)+x\left(2x-2\right)\)
\(=x\left(x^2+y^2+2x-2\right)\)
+) \(x^2-6x-7\)
\(=x^2-6x+9-16\)
\(=\left(x-3\right)^2-16\)
\(=\left(x-3-4\right)\left(x-3+4\right)=\left(x-7\right)\left(x+1\right)\)
1. \(11x-7x+6=4x+6=2\left(2x+3\right)\)
2. \(7x^2+xy-2x^2=5x^2+xy=x\left(5x+y\right)\)
3. \(2x^2-x-1=\left(2x+1\right)\left(x-1\right)\)