Which polynomial expression represents the area of the outermost square tile, shown below? A square shaped tile with length x minus three is shown x2 + 6x - 6 x2 - 9x + 6 x2 + 6x - 9 x2 - 6x + 9

Area of square tile is:

x²-6x+9

Step-by-step explanation:

A square shaped tile has a length x-3

We know that:

Area of square=Side²

So, area of the outermost square tile = (x-3) (x-3)

=x (x-3) - 3 (x-3)

=x²-3x-3x+9

= x²-6x+9

Hence, Area of square tile is:

x²-6x+9

The square of a binomial can be worked out using the distributive propery.

(x - 3) ² = x (x - 3) - 3 (x - 3) = x² - 3x - 3x + 9

= x² - 6x + 9