Question

1 Phân tích đa thức sau thành phân tử:

a) 3x^2-6x ; b) 18x^2-4x+12

c) 4x^2(2x-y)-12x(2x-y) ; d) 7(x-3y)-2x(3y-x) ; f) 6(x-2y)-3(2y-x)

Answer 1

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

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

\(b,18x^2-4x+12\)

\(=2\left(9x^2-2x+6\right)\)

\(c,4x^2\left(2x-y\right)-12x\left(2x-y\right)\)

\(=\left(2x-y\right)\left(4x^2-12x\right)\)

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

\(d,7\left(x-3y\right)-2y\left(3y-x\right)\)

\(=7\left(x-3y\right)+2y\left(x-3y\right)\)

\(=\left(x-3y\right)\left(2y+7\right)\)

\(f,6\left(x-2y\right)-3\left(2y-x\right)\)

\(=6\left(x-2y\right)+3\left(x-2y\right)\)

\(=\left(x-2y\right)\left(6+3\right)=9\left(x-2y\right)\)