\(a,4x^3y^2-8x^2y^3+12x^3y^2\)
\(=16x^3y^2-8x^2y^3\)
\(=8x^2y^2\left(2x-y\right)\)
\(b,x\left(2-x\right)^2-\left(2-x\right)^3\)
\(=\left(2-x\right)^2\left(x-2+x\right)=\left(x-2\right)^22\left(x-1\right)\)
Học tốt nha<3
a, \(4x^3y^2-8x^2y^3+12x^3y^2\)
\(=4x^2y^2\left(x-2y+3x\right)\)
\(=4x^2y^2\left(4x-2y\right)\)
\(=8x^2y^2\left(2x-y\right)\)
b, \(x\left(2-x\right)^2-\left(2-x\right)^3\)
\(=\left(2-x\right)^2\left(x-2+x\right)\)
\(=\left(2-x\right)^2\left(2x-2\right)\)
\(=2\left(2-x\right)^2\left(x-2\right)\)
\(=2\left(x-2\right)^3\)
a) \(4x^3y^2-8x^2y^3+12x^3y^2\)
\(=16x^3y^2-8x^2y^3\)
\(=8x^2y^2\left(2x-y\right)\)
b) \(x\left(2-x\right)^2-\left(2-x\right)^3\)
\(=\left(2-x\right)^2\left[x-\left(2-x\right)\right]\)
\(=\left(2-x\right)^2\left(x-2+x\right)\)
\(=\left(2x\right)^2\cdot2\left(x-1\right)\)
\(=2\left(2-x\right)^2\left(x-1\right)\)
a) \(4x^3y^2-8x^2y^3+12x^2y^2\)
\(=8x^2y^2\)
b) \(x\left(2-x\right)^2-\left(2-x\right)^3\)
\(=x\left(4-4x+x^2\right)-\left(8-12x+6x^2-x^3\right)\)
\(=4x-4x^2+x^3-8+12x-6x^2+x^3\)
\(=2x^3-10x^2+16x-8\)
\(=2\left(x^3-5x^2+8x-4\right).\)
