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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

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sqdancefan

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

Answer:

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

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