Question

phân tích đa thức thành nhân tử:

4x(x-y)+3(y-x)² 

Answer 1

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

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

\(=\left(x-y\right)\left[4x+3\left(x-y\right)\right]\)

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

Answer 2

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

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

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

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

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

Chúc bạn học tốt ~ 

Answer 3

Ta có:

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

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

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

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