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zheka24 [161]
3 years ago
11

Which polynomial expression represents the area of the outer most square tile, shown below?

Mathematics
2 answers:
Andrew [12]3 years ago
7 0

ANSWER

{x}^{2}  - 6x + 9

EXPLANATION

The outermost square tile has side length,

l = x - 3

The area of a square is given by;

Area= {l}^{2}

We substitite the given expression for the side length into the formula to obtain,

Area= {(x - 3)}^{2}

Area= {(x - 3)}(x - 3)

We expand using the distributive property to obtain;

Area=x {(x - 3)} - 3(x - 3)

This gives us:

Area= {x}^{2}  - 3x - 3x  + 9

Area= {x}^{2}  - 6x + 9

The last choice is correct.

Deffense [45]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

The last option, x^{2}-6x+9

<h2>Why?</h2>

The area of square is given by the following formula:

Area=l*l=l^{2}

Where, l is the side of the square, remember that a square has equal sides.

To solve the problem, we must remember the following notable product:

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

So, if the side of the given circle is (x-3), the area will be:

Area=l^{2}=(x-3)^{2}

Applying the notable product, we have:

Area=(x-3)^{2}=x^{2} -(2)*(x)(3)+(-3)^{2}\\\\Area=x^{2} -(2)*(x)(3)+(-3)^{2}=x^{2}-6x+9

So, the correct option is the last option:

x^{2}-6x+9

Have a nice day!

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