Question

Phân tích thành nhân tử:

-6x²+7x-2=...

Answer 1

Ta có:-6x^2+7x-2.

=-(6x^2-7x+2).

=-{(x^2-2x+1)+[(2x)^2-4x+1]+(x^2-x+1/4)-(1/2)^2}.

=-[(x-1)^2+(2x-1)^2+(x-1/2)^2-(1/2)^2].

=-[(2x-1)^2+(x-1)^2+x(x-1)].

=-[(2x-1)^2-(2x-1)(x-1)].

=-(2x-1)(2x-1-x+1).

=-x(2x-1).

Answer 2

\(-6x^2+7x-2\)

\(=-6x^2+3x+4x-2\)

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

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