phân tích đa thức thành nhân tử
2x^2+3z+6y+xz
x^2-xy+x^2y-xy^2
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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) \(xy\left(x-3y\right)-2x+6y=xy\left(x-3y\right)-2\left(x-3y\right)=\left(x-3y\right)\left(xy-2\right)\)
\(=2\left(x^2-y^2\right)-3\left(x+y\right)=2\left(x-y\right)\left(x+y\right)-3\left(x+y\right)=\left(x+y\right)\left(2x-2y-3\right)\)
a.
\(=xy\left(x+xy-y\right)\)
b.
\(3xy-6y+x^2-2x=3y\left(x-2\right)+x\left(x-2\right)\)
\(=\left(3y+x\right)\left(x-2\right)\)
c.
\(x^2-12x+36-64y^2=\left(x-6\right)^2-\left(8y\right)^2\)
\(=\left(x-6+8y\right)\left(x-6-8y\right)\)
d.
\(x^2+7x+10=x^2+2x+5x+10=x\left(x+2\right)+5\left(x+2\right)\)
\(=\left(x+2\right)\left(x+5\right)\)
\(=x\left(x-6\right)+y\left(x-6\right)=\left(x+y\right)\left(x-6\right)\)
a) \(x^2-x-xy-2y^2+2y\)
\(=x^2-x-2xy+xy-2y^2+2y\)
\(=\left(-2y^2-2xy+2y\right)+\left(xy+x^2-x\right)\)
\(=2y\left(-y-x+1\right)+x\left(y+x-1\right)\)
\(=-2y\left(y+x-1\right)+x\left(y+x-1\right)\)
\(=\left(x-2y\right)\left(y+x-1\right)\)
b) \(x^2+4xy+2x+3y^2+6y\)
\(=x^2+3xy+xy+2x+3y^2+6y\)
\(=\left(3y^2+3xy+6y\right)+\left(xy+x^2+2x\right)\)
\(=3y\left(y+x+2\right)+x\left(y+x+2\right)\)
\(=\left(3y+x\right)\left(y+x+2\right)\)
\(4\left(2-x\right)^2+xy-2y=4\left(x-2\right)^2+y\left(x-2\right)\)
\(=\left(x-2\right)\left(4\left(x-2\right)+y\right)\)
\(=\left(x-2\right)\left(4x+y-8\right)\)
Ý a có rì đó sai sai nha bn
\(x^2-xy+x^2y-xy^2=x\left(x-y\right)+xy\left(x-y\right)=\left(x-y\right)\left(y+1\right)x\)