Question

Help!!!!!!!!!!!!!!! A square tabletop has side lengths of (4x − 8) units. Enter a polynomial that represents the area of the tabletop.

Answer 1

Answer: $16x^{2}-64x+64$

Step-by-step explanation:

1. The formula for calculate th area of a square is shown below:

$A=s^{2}$

Where s is the side of the square.

2. Therefore, if the square tabletop has side lengths of (4x-8) units you have:

$(4x-8)^{2}$

3. By definition, the square of a binomial is always a trinomial:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

4. Then, you obtain:

$(4x-8)^{2}=(4x)^{2}-2(4x)(-8)+8^{2}=16x^{2}-64x+64$