Question

(p^2-6)-4(p^2-6)^2 СРОЧНО подробно

Answer 1

Упростить

$(p^2-6)-4(p^2-6)^2=\p^2-12p+36-4(p^2-12p+36)=\p^2-12p+36-4p^2+48p-144=\-3p^2+36p-108$

Разложить на множители

$(p^2-6)-4(p^2-6)^2=\ (p^2-6)(1-4(p^2-6))=\ (p^2-6)(1-4p^2+24)=\ (p^2-6)(25-4p^2)=\ (p-sqrt6)(p+sqrt6)(5-2p)(5+2p)$

Answer 2

(p^2-6)-4(p^2-6)^2 = (p^2-6) * (1 - 4(p^2-6)) = (p^2-6) * (-4p^2-23) = - 4p^4 + 24p^2 - 23p^2 + 138 = - 4p^4 + p^2 + 138