Solve by factoring or finding square roots. x^2+2x+1=0

x=-1

Step-by-step explanation:

x^2+2x+1=0

What 2 numbers multiply to 1 and add to 2

1*1 = 1

1+1=2

(x+1) (x+1) =0

Using the zero product property

x+1 = 0  x+1 = 0

x=-1     x=-1

x=-1

(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

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2