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x^2+8x+c
Perfect square Trinomial

Sagot :

we know square of the sum formula
(a+b)²=a²+2ab+b²
so we need
x²+8x+c=(x²+2*4*x+4²)-16+c=(x+4)²+c-16,
so for full square we need  c-16=0
c=16
Answer: c=16