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[tex]9x^2 - 30xy + 25y^2 = (3x)^2 - 2 (15xy) + (5y)^2[/tex]

                           [tex]= (3x)^2 - 2(3x \times 5y) + (5y)^2\\\\[/tex]

[tex]This \ is \ of \ the \ form \ a^2 - 2ab + b^2 , \ that \ is \ (a-b)^2\\\\a = 3x, \ b = 5y[/tex]

[tex]9x^2 - 30xy + 25y^2 = (3x - 5y)^2[/tex]