Question

разложите на множители (p^2+4q^2)^2-16p^2q^2

Answer 1

$(p^2+4q^2)^2-16p^2q^2=p^4+8p^2q^2+16q^4-16p^2q^2=\\ =p^4-8p^2q^2+16q^4=(p-4q^2)^2=(p-4q^2)(p-4q^2).$