\(a,3x^3-6x^2+3x\)

\(=3x\left(x^2-2x+1\right)\)

\(=3x\left(x-1\right)^2\)

\(b,16x^2y-4xy^2-4x^3\)

\(=-4x\left(x^2-4xy+4y^2-3y^2\right)\)

\(=-4x\left(x-2y+y\sqrt{3}\right)\left(x-2y-y\sqrt{3}\right)\)

=(16x²y+x²y)-4xy²-4x³

=17x²-4xy²-4x³

\(giải:\)

\(16x^2y-4xy^2-4x^3+x^2y\)

\(=\left(16x^2y-4xy^2\right)-\left(4x^3-x^2y\right)\)

\(=4xy\left(4x-y\right)-x^2\left(4x-y\right)\)

\(=\left(4x-y\right)\left(4xy-x^2\right)\)

\(=\left(4x-y\right)\left(\sqrt{4xy}-x\right)\left(\sqrt{4xy}+x\right)\)

\(=\left(4x-y\right)\left(2\sqrt{xy}-x\right)\left(2\sqrt{xy}+x\right)\)

\(a,=2xy\left(2y-x\right)\\ b,=x^2\left(x-4\right)+5\left(x-4\right)=\left(x^2+5\right)\left(x-4\right)\\ c,=\left(x-y\right)\left(x^2-25\right)=\left(x-y\right)\left(x-5\right)\left(x+5\right)\)

b) \(x^3-4x^2y+4xy^2-y^3\)

\(=x^3-3x^2y-x^2y+3xy^2+xy^2-y^3\)

\(=\left(x^3-3x^2y+3xy^2-y^3\right)-\left(x^2y-xy^2\right)\)

\(=\left(x-y\right)^3-xy\left(x-y\right)\)

\(=\left(x-y\right)\left[\left(x-y\right)^2-xy\right]\)

\(=\left(x-y\right)\left(x^2-2xy+y^2-xy\right)\)

\(=\left(x-y\right)\left(x^2-3xy+y^2\right)\)

a)\(=3\left(x-5\right)^2\)

b)\(=x\left(y-2x-1\right)\)

c)\(=\left(x+1\right)\left(x-8\right)\)

d)\(=4x\left(x+y+2\right)\left(x+y-2\right)\)

e)\(=\left(y+z\right)\left(x-2\right)\)

g)\(=\left(x+3+y\right)\left(x+3-y\right)\)

a) A = \(3x^2-30x+75=3\left(x^2-10x+25\right)=3\left(x-5\right)^2\)

b) B = \(xy-x^2-x^2-x=xy-2x^2-x=x\left(y-2x-1\right)\)

c) C= \(x^2-7x-8=x^2-7x+12,25-20,25=\left(x-3,5\right)^2-20,25\)