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Find the area of a square with side (6x - 5y).

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So, we draw our square, and all the sides are going to have the same length.

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And they're telling us that the length for each of the sides, which is the same for all of them, is (6x - 5y).

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So the height will be (6x - 5y), and so would the width.

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And if we want to find the area of the square, we're just going to have to multiply the

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width times the height.

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So the area of this square is going to be the width, which is (6x - 5y)

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times the height.

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Times the height, which is also (6x - 5y).

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So we just have to multiply these two binomials.

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And to do this you could either do FOIL if you like memorizing things,

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or you could just remember this is just applying the Distributive Property twice.

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So what we could do is just distribute this entire magenta (6x - 5y)

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times each of, distributing over each of these terms in the yellow (6x - 5y)

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If we do that, we will get, this 6x.

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This 6x, times this entire (6x - 5y).

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So, (6x - 5y), and then we have

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minus 5y.

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Minus 5y, again, times the entire magenta (6x - 5y)