Indentify the center and radius: (x + 4)2 + (y + 5)2 = 64

please helppp!!

4th option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 4)² + (y + 5)² = 64 ← is in standard form

with h = - 4, k = - 5 and r = = 8

centre = (- 4, - 5) and r = 8

x² - 5x - 24

Explanation:
To answer this question, we will multiply each term from the first bracket by each term from the second bracket and then we will combine like terms to get the final expression.

This can be done as follows:
(x - 8)(x + 3)
x(x) + x(3) - 8(x) - 8(3)
x² + 3x - 8x - 24
x² - 5x - 24

Hope this helps :)