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Descompuneti 9+x^2+25y^2+6x+30y+10xy

Răspuns :


9+x²+25y²+6x+30y+10xy=
=x²+10xy+25y²+6(x+5y)+9=
=(x+5y)²+6(x+5y)+9=
=(x+5y+3)²
(x²+5²y²+2*5xy)+9+6x+30y= (x+5y)²+2*3(x+5y)+3²=[(x+5y)+3]²=(x+5y+3)²