Question

Phân tích đa thức; 4x³ + 4x⁴ - x² - x thành nhân tử.

Answer 1

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

\(=4x^3\left(x+1\right)-x\left(x+1\right)\)

\(=\left(x+1\right)\left(4x^3-1\right)\)

Answer 2

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

\(=\left(4x^4+4x^3+x^2\right)+2\left(2x^2+x\right)+1\)

\(=\left(2x^2+x\right)^2+2\left(2x^2+x\right)+1\)

\(=\left(2x^2+x+1\right)^2\)