Question

доведіть тотожність ​

Answer 1

Ответ:

$=( \frac{(x - 7)(x + 7)}{ {(x - 7})^{2} } \times \frac{x - 7}{x + 7} ) ^{4} = {1}^{4} = 1$

Answer 2

Объяснение:

1.

$\displaystyle\\(\frac{x^2-49}{x^2-14x+49} )^4=(\frac{x^2-7^2}{x^2-2*x*7+7^2})^4=(\frac{(x+7)*(x-7)}{(x-7)^2})^4=(\frac{x+7}{x-7})^4.$

2.

$\displaystyle\\(\frac{x+7}{x-7})^4 :(\frac{x+7}{x-7})^4=1.$