If f(x) is a polynomial of degree < 3, then prove that |(1, a, f(a)/(x - a)), (1, b, f(b)/(x - b)), (1, c, f(c)/(x - c))|/|(1, a, - Sarthaks eConnect

If f(x) is a polynomial of degree < 3, then prove that

|(1, a, f(a)/(x - a)), (1, b, f(b)/(x - b)), (1, c, f(c)/(x - c))|/|(1, a, a²), (1, b, b²), (1, c, c²)| = f(x)/((x - a)(x - b)(x - c))

If f(x) is a polynomial of degree < 3, then prove that |(1, a, f(a)/(x - a)), (1, b, f(b)/(x - b)), (1, c, f(c)/(x - c))|/|(1, a,