tìm x.y
x2y2 - 2xy2 + 8xy - 12x - 4x2y + 6x2 + 5y2 - 20y + 22 = 0
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d) \(4x^2y^2-8xy^2+4y^2=4y^2\left(x^2-2x+1\right)=4y^2\left(x-1\right)^2\)
e) \(x^3y+10x^2y+35xy=xy\left(x^2+10x+35\right)\)
f) \(2x^3-4x^2y+2xy^2-8x=2x\left(x^2-2xy+y^2-4\right)=2x\left[\left(x-y\right)^2-4\right]=2x\left(x-y-2\right)\left(x-y+2\right)\)
g) \(3x^2-9xy-6x+18y=3x\left(x-3y\right)-6\left(x-3y\right)=3\left(x-3y\right)\left(x-2\right)\)
h) \(x^2y^2-3xy^2+2xy-6y=xy\left(xy+2\right)-3y\left(xy+2\right)=\left(xy+2\right)\left(xy-3y\right)=y\left(xy+2\right)\left(x-3\right)\)
d: \(4x^2y^2-8xy^2+4y^2\)
\(=4y^2\left(x^2-2x+1\right)\)
\(=4y^2\left(x-1\right)^2\)
e: \(x^3y+10x^2y+35xy\)
\(=xy\left(x^2+10x+35\right)\)
f: \(2x^3-4x^2y+2xy^2-8x\)
\(=2x\left(x^2-2xy+y^2-4\right)\)
\(=2x\left(x-y-2\right)\left(x-y+2\right)\)
a: Sửa đề: \(2A+\left(2x^2+y^2\right)=6x^2+5y^2-2x^2y^2\)
=>\(2A=6x^2+5y^2-2x^2y^2-2x^2-y^2\)
=>\(2A=4x^2+4y^2-2x^2y^2\)
=>\(A=2x^2+2y^2-x^2y^2\)
b: \(2A-\left(xy+3x^2-2y^2\right)=x^2-8y+xy\)
=>\(2A=x^2-8y+xy+xy+3x^2-2y^2\)
=>\(2A=4x^2+2xy-8y-2y^2\)
=>\(A=2x^2+xy-4y-y^2\)
c: Sửa đề: \(A+\left(3x^2y-2xy^2\right)=2x^2y+4xy^3\)
=>\(A=2x^2y+4xy^3-3x^2y+2xy^2\)
=>\(A=-x^2y+4xy^3+2xy^2\)
a: \(4x^3-xy^2\)
\(=x\left(4x^2-y^2\right)\)
\(=x\left(2x-y\right)\left(2x+y\right)\)
b: \(5x^3-10x^2+5x\)
\(=5x\left(x^2-2x+1\right)\)
\(=5x\left(x-1\right)^2\)
c: \(4x^2+24x+36-4y^2\)
\(=4\left(x^2+6x+9-y^2\right)\)
\(=4\left(x+3-y\right)\left(x+3+y\right)\)