Answer:
YES IT IS A PERFECT SQUARE
Explanation:
equate the equation to zero
x^2+8x+16=0
c is the product while the coefficient of b is the sum
P=16
S=8
find a pair of numbers that the product is 16 and the sum is 8
the numbers are (4,4)
(x^2+4x) (4X+16)
ignore 8x and arrange as shown above
then bracket the equation
x(x+4)+4(x+4)
you simplify and remain with (x+4) (x+4)
having similar roots making it a perfect square