Question

(x la puterea 2 + 5x)(xla puterea 2 + 5x +2 ) +1 este patrat perfect

Answer 1

$Notam~ x^{2} +5x=a. \\ \\ ( x^{2} +5x)( x^{2} +5x+2)+1=a(a+2)+1= a^{2} +2a+1=(a+1) ^{2}, \\ care~este~patrat~perfect.$