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## Example Questions

### Example Question #1 : How To Simplify Binomials

If 〖(x+y)〗^{2 }= 144 and 〖(x-y)〗^{2 }= 64, what is the value of xy?

**Possible Answers:**

16

18

22

20

**Correct answer:**

20

Explanation:

We first expand each binomial to get x^{2} + 2xy + y^{2} = 144 and x^{2} - 2xy + y^{2} = 64. We then subtract the second equation from the first to find 4xy = 80. Finally, we divide each side by 4 to find xy = 20.

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