Разложите ** множители:(p^2-6)-4(p^2-6)^2

Question

Разложите на множители:(p^2-6)-4(p^2-6)^2

Answer 1

(p*2-6)-4(p*2-6)*2 = (p*2-6) - 8*(p*2-6) = = (1-8)(p*2-6)

Answer 2

(p²-6)-4(p²-6)²=1(p²-6)-4(p²-6)(p²-6)=(1-4p²+24)(p²-6)=
=(25-4p²)(p²-6)=(5-2p)(5+2p)(p²-6)=(5-2p)(5+2p)(p-√6)(p+√6)