Which polynomial expression represents the area of the outer most square tile, shown below?
Accepted Solution
A:
ANSWER[tex]{x}^{2} - 6x + 9[/tex]EXPLANATIONThe outermost square tile has side length, [tex]l = x - 3[/tex]The area of a square is given by;[tex]Area= {l}^{2} [/tex]We substitite the given expression for the side length into the formula to obtain,[tex]Area= {(x - 3)}^{2} [/tex][tex]Area= {(x - 3)}(x - 3)[/tex]We expand using the distributive property to obtain;[tex]Area=x {(x - 3)} - 3(x - 3)[/tex]This gives us:[tex]Area= {x}^{2} - 3x - 3x + 9[/tex][tex]Area= {x}^{2} - 6x + 9[/tex]The last choice is correct.