Option C:
Area of the remaining paper = (3x – 4)(3x + 4) square centimeter
Solution:
Area of the square paper = [tex]9x^2[/tex] sq. cm
Area of the square corner removed = 16 sq. cm
Let us find the area of the remaining paper.
Area of the remaining paper = Area of the square paper – Area of the corner
Area of the remaining = [tex]9x^2-16[/tex]
                   = [tex](3x)^2-(4)^2[/tex]
Using algebraic formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
                   [tex]=(3x-4)(3x+4)[/tex]
Area of the remaining paper = (3x – 4)(3x + 4) square centimeter
Hence (3x – 4)(3x + 4)  represents area of the remaining paper in square centimeters.
