^_^!!!
a)\(x^3-2x^2+x-xy^2\)
\(=x\left(x^2-2x+1-y^2\right)\)
\(=x\left[\left(x-1\right)^2-y^2\right]\)
\(=x\left(x-1+y\right)\left(x-1-y\right)\)
b)\(x^3-4x^2-12x+27\)
\(=x^3-7x^2+9x+3x^2-21x+27\)
\(=x\left(x^2-7x+9\right)+3\left(x^2-7x+9\right)\)
\(=\left(x+3\right)\left(x^2-7x+9\right)\)
c)\(x^2-6x+8\)
\(=x^2-4x-2x+8\)
\(=x\left(x-4\right)-2\left(x-4\right)\)
\(=\left(x-2\right)\left(x-4\right)\)
a, \(x^3-2x^2+x-xy^2\)
\(=x.\left(x^2-2x+1-y^2\right)\)
\(=x.\left(x^2-x-x+1-y^2\right)\)
\(=x.\left[\left(x^2-x\right)-\left(x-1\right)-y^2\right]\)
\(=x.\left[x.\left(x-1\right)-\left(x-1\right)-y^2\right]\)
\(=x.\left[\left(x-1\right)^2-y^2\right]\)
\(=x.\left(x-1-y\right).\left(x-1+y\right)\)
Chúc bạn học tốt!!!
a/\(x^3-2x^2+x-xy^2\)
\(=x\times\left(x^2-2x+1-y^2\right)\)
\(=x\times\left[\left(x-1\right)^2-y^2\right]\)
\(=x\times\left(x-1-y\right)\times x-1+y\)
b/\(x^3-4x^2-12x+27\)
\(=x+3x^{^{ }2}-7x^2-21x+9x+27\)
\(=x^2\times\left(x+3\right)-7x\times\left(x+3\right)+9x\times\left(x+3\right)\)
\(=\left(x+3\right)\times\left(x^2-7x+9x\right)\)
c/\(x^2-6x+8\)
b, \(x^3-4x^2-12x+27\)
\(=x^3+3x^2-7x^2-21x+9x+27\)
\(=\left(x^3+3x^2\right)-\left(7x^2+21x\right)+\left(9x+27\right)\)
\(=x^2.\left(x+3\right)-7x.\left(x+3\right)+9.\left(x+3\right)\)
\(=\left(x+3\right).\left(x^2-7x+9\right)\)
Chúc bạn học tốt!!!
c, \(x^2-6x+8\)
\(=x^2-2x-4x+8\)
\(=\left(x^2-2x\right)-\left(4x-8\right)\)
\(=x.\left(x-2\right)-4.\left(x-2\right)\)
\(=\left(x-2\right).\left(x-4\right)\)
Chúc bạn học tốt!!!
