Question

Cum pot scrie $(a ^{2} -b^2)^2$
in functie de p si q unde p=a+b si q=a·b

Answer 1

$\left(a^2-b^2\right)^2=(a-b)^2(a+b)^2=(a^2-2ab+b^2)(a+b)^2=\\=\left[(a+b)^2-4ab\right](a+b)^2=(S^2-4P)S^2$