Question

phân tích đa thức thành nhân tử: 24x²-6+36y-54y²

Answer 1

\(=6\left(4x^2-9y^2+6y-1\right)\)

\(=6\left[\left(2x\right)^2-\left(3y-1\right)^2\right]\)

\(=6\left(2x-3y+1\right)\left(2x+3y-1\right)\)

Answer 2

\(24x^2+36y-54y^2-6\)

\(=6\left(4x^2+6y-9y^2-1\right)\)

\(=6\left[4x^2-\left(9y^2-6y+1\right)\right]\)

\(=6\cdot\left[\left(2x\right)^2-\left(3y-1\right)^2\right]\)

\(=6\left(2x-3y+1\right)\left(2x+3y-1\right)\)