[tex]\displaystyle\bf\\1)\\\\x^{2} +6x+9=x^{2} +2\cdot x\cdot 3+3^{2} =(x+3)^{2} \\\\\\2)\\\\25x^{2} -10xy+y^{2} =(5x)^{2} -2\cdot 5x\cdot y+y^{2} =(5x-y)^{2}[/tex]
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[tex]\displaystyle\bf\\1)\\\\x^{2} +6x+9=x^{2} +2\cdot x\cdot 3+3^{2} =(x+3)^{2} \\\\\\2)\\\\25x^{2} -10xy+y^{2} =(5x)^{2} -2\cdot 5x\cdot y+y^{2} =(5x-y)^{2}[/tex]