To solve this equation, we will first expand the terms using the distributive property:
(х+4)^2 - (x-2)(x+2) = 0(х+4)(х+4) - (x^2 + 2x - 2x - 4) = 0(x^2 + 4x + 4) - (x^2 - 4) = 0x^2 + 4x + 4 - x^2 + 4 = 04x + 8 = 0
Now we can solve for x:
4x = -8x = -2
Therefore, the solution to the equation (х+4)^2 - (x-2)(x+2) = 0 is x = -2.
To solve this equation, we will first expand the terms using the distributive property:
(х+4)^2 - (x-2)(x+2) = 0
(х+4)(х+4) - (x^2 + 2x - 2x - 4) = 0
(x^2 + 4x + 4) - (x^2 - 4) = 0
x^2 + 4x + 4 - x^2 + 4 = 0
4x + 8 = 0
Now we can solve for x:
4x = -8
x = -2
Therefore, the solution to the equation (х+4)^2 - (x-2)(x+2) = 0 is x = -2.