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[tex] x^{2} + 4x + 3 [/tex] si  [tex]( x^{2} +3x)( x^{2} +3x+2) [/tex]

Răspuns :

Formezi un patrat:
1.) x²+2*2x+4 - 1= (x+2)² - 1 = (x+2-1)(x+2+1) = (x+1)(x+3)
2.)  (x²+3x) ( x²+2x+1+x+1) = (x²+3x) [(x+1)²+ (x+1)] = (x²+3x) (x+1) (x+2) = [ (x+2x+1 +x-1)]((x+1)(x+2)] = [(x+1)²+(x-1)] (x+1)(x+2) =