Explain while properly writing all the proofs I don't understand the topic and the question so put clearer understand reasoning and steps beside the step by step proof

45 All variables represent real (or complex) numbers. Prove the following. 1 1 1 a b C d a 2 a b2 2 d2 =(b-a)(c-a)(c-b)(d-a)(d-b)(d-c)(a+ b+c+d) a b4 4 d4 Hint: The determinant is a polynomial P of degree four in d with zeros a, b, and c, and coefficient of d' zero. So P(d) = K(d - a)(d-b)(d-c)(d-p) for numbers K and p to be determined. Find p and K. You will need Problem 43.a