Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit. x2 − 4x + y2 + 8y = −4
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center => (2 , -4)

radius = 4

Step-by-step explanation:

x²− 4x + y² + 8y = −4

=>

x²+y²-4x+8y+4=0

center = (-(-4)/2 , -8/2)

=> (2 , -4)

radius = √(2²+4²-4)

= √(4+16-4) =√16 = 4

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18