Question

\(4x\left(x^2-4y^2\right)+8y\left(2y-x\right)\)

Phân tích đa thức thành nhân tử

Answer 1

\(=4x\left(x-2y\right)\left(x+2y\right)-8y\left(x-2y\right)=\left(x-2y\right)\left[4x\left(x+2y\right)-8y\right]=\left(x-2y\right)\left(4x^2+8xy-8y\right)\)

Answer 2

\(4x\left(x^2-4y^2\right)+8y\left(2y-x\right)=4x\left(x-2y\right)\left(x+2y\right)+8y.\left(2y-x\right)\)

\(=4x\left(x-2y\right).\left(x+2y\right)-8y.\left(x-2y\right)\)

\(=\left(x-2y\right).\left[4x.\left(x+2y\right)-8y\right]\)

\(=\left(x-2y\right).\left(4x^2+8xy-8y\right)\)