Question

Разложи на множители 1−t2+2tp−p2

Выбери правильный ответ

(1−t)⋅(1+p)
(1−t+p)⋅(1+t−p)
(t+p)2
(t−p)2
(1−t)⋅(1+t+2p)

Answer 1

1−t²+2tp−p²=1-(t²-2tp+p²)=1-(t-p)²=(1-(t-p))*(1+(t-p))=(1-t+p)*(1+t-p)

Answer 2

$1-t^{2}+2tp-p^{2}=1-(t^{2}-2tp+p^{2})=1-(t-p)^{2}=$$=(1-t+p)(1+t-p)$