a square corner of 16 square centimeters is removed from a square paper with an area of 9x² square…

a square corner of 16 square centimeters is removed from a square paper with an area of 9x² square centimeters. 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)

a square corner of 16 square centimeters is removed from a square paper with an area of 9x² square centimeters. 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)

Answer

Explanation:

Step1: Find the area of the remaining shape

The area of the original square paper is $9x^{2}$ square - centimeters and the area of the removed square corner is 16 square - centimeters. So the area of the remaining shape is $9x^{2}-16$.

Step2: Factor the expression

We know that $a^{2}-b^{2}=(a - b)(a + b)$. Here, $9x^{2}=(3x)^{2}$ and $16 = 4^{2}$. So $9x^{2}-16=(3x - 4)(3x + 4)$.

Answer:

C. $(3x - 4)(3x + 4)$