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# Polynomial Arithmetic

From profit/cost models to the flight of a baseball to approximating the motion of a wave, polynomials are a mathematical way to represent values which are sums of powers of variables.

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\[\large \frac{ 11^4 - 9 ^ 4 } { 11 ^2 + 9^ 2 } = \ ? \]

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Chung Kevin**

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Cao Mạnh Khải**

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\[ \large x+\frac{1}{x} = 5, \quad\quad\quad x^2 + \frac{1}{x^2} = \ ? \]

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Anshul Sanghi**

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\[\large 10^x=\Big(10^{624}+25\Big)^2-\Big(10^{624}-25\Big)^2\]

What is the value of \(x\) that satisfies the equation above?

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Paola Ramírez**

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Which of the following equals \(\dfrac { { a }^{ 2 }-{ b }^{ 2 } }{ a-b } \) for \(a\neq b\)?

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Archit Boobna**

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