Question

phân tích thành nhân tử
\(4x^4-32x^2+1\)
 

Answer 1

\(4x^4-32x^2+1\)

\(=4x^4+12x^3+2x^2-12x^3-36x^2-6x+2x^2+6x+1\)

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

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

Answer 2

4x⁴ - 32x² + 1

= (2x²)² - 2.2x².8 + 64 - 63

= (2x² - 8)² - (3√7)²

= (2x² - 8 - 3√7)(2x² - 8 + 3√7)