Question

(х+12)(х^2-12х+12^2)-x(x^2-12)=12(12^2+1)

Answer 1

х^3 - 12x^2 + 144x + 12x^2 +1728-x^3 + 12x=1728 +12

12х=12

х=1

потому что x^3, 12x^2, 1728, 144х  уничтожаются))

Answer 2

To solve the equation, let's simplify and expand the expressions:

Starting with the left side: (x + 12)(x^2 - 12x + 12^2) - x(x^2 - 12) = 12(12^2 + 1)

Expanding the expressions: (x + 12)(x^2 - 12x + 144) - x(x^2 - 12) = 12(145)

Expanding further: (x^3 - 12x^2 + 144x + 12x^2 - 144x + 1728) - (x^3 - 12x) = 12(145)

Simplifying: x^3 - 12x^2 + 144x + 12x^2 - 144x + 1728 - x^3 + 12x = 1740

Combining like terms: -12x^2 + 12x^2 - 144x + 144x + x^3 - x^3 + 12x = 1740 - 1728

Simplifying further: 12x = 12

Dividing both sides by 12: x = 1

Therefore, the solution to the equation (x + 12)(x^2 - 12x + 12^2) - x(x^2 - 12) = 12(12^2 + 1) is x = 1.