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Answer:
1. [tex](x-6)^{2}[/tex]
2. [tex](x +11)^2[/tex]
3. [tex](x-4y)^{2}[/tex]
4. [tex](5x - y)^2[/tex]
Step-by-step explanation:
1. [tex]x^{2} -12x +36[/tex] ---> [tex](x-6)^{2}[/tex]
2. [tex]x^{2} +22x + 121[/tex] ---> [tex](x +11)^2[/tex]
3. [tex]x^{2} -8xy+16y^{2}[/tex] ---> [tex](x-4y)^{2}[/tex]
4. [tex]25x^2-10xy + y^2[/tex] ---> [tex](5x - y)^2[/tex]