Вместо K и M впишите такие одночлены ,чтобы выражение стало тождеством
(2m^2 - c)^2 = K - 4m^2c + M
(A) K = 2m^4 ; M = -c^2
(B) K = 2m^2 ; M = -c^2
(C) K = 4m^4 ; M = c^2
(D) K = 4m^4 ; M = -c^2
(2m^2 - c)^2 = K - 4m^2c + M
(A) K = 2m^4 ; M = -c^2
(B) K = 2m^2 ; M = -c^2
(C) K = 4m^4 ; M = c^2
(D) K = 4m^4 ; M = -c^2
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Решение.
Формула разности квадратов: [tex]\bf (a-b)^2=a^2-2ab+b^2[/tex] .
Если [tex]\bf a=2m^2[/tex] и [tex]\bf b=c[/tex] , то
[tex]\bf (2m^2-c)^2=(2m^2)^2-2\cdot 2m^2\cdot c+c^2=4m^4-4m^2c+c^2[/tex]
Ответ: (C) [tex]\bf K=4m^4\ ,\ \ M=c^2[/tex] .