A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters. A square. Most of the square is shaded blue. In the bottom right of the square is a smaller square, outlined in a dashed line, and not shaded. Which expression represents the area of the remaining paper shape in square centimeters? (x – 7)(x – 9) (3x – 2)(3x – 8) (3x – 4)(3x + 4) (9x – 1)(x + 16)

(3x - 4) (3x + 4)

Step-by-step explanation:

Area of the square paper = 9x^2 square centimeters

Area of the square corner = 16 square centimeters

The area of the square corner is removed from area of the square paper.

That is,

9x^2 - 16

Factorise by finding the square root of each term

9x^2

Square root of 9x^2 = 3x

Check:

3x * 3x = 9x^2

Square root of 16 = + or - 4

9x^2 - 16 = (3x - 4) (3x + 4)

Check:

(3x - 4) (3x + 4)

9x^2 + 12x - 12x - 16

= 9x^2 - 16

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