Question

Using properties of determinants prove that: |((x - 2)²,(x - 1)²,x²),((x - 1)²,x²,(x + 1)²),(x²,(x + 1)²,(x + 2)²))| = -8

Answer 1

We know that

By taking 2 common from C₁

We get

= 8|2x² + 2x - x - 1 - 2x² - x|

By further simplification

= 8 (-1)

= -8