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Simplify the following expression by factoring.  Identify the factors below that would leave your answer in the simplest factored form. 121x6 - 100y6

Question

Simplify the following expression by factoring.  Identify the factors below that would leave your answer in the simplest factored form. 121x6 - 100y6

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Solution

The given expression is 121x^6 - 100y^6.

This is a difference of two squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b).

Here, a = 11x^3 and b = 10y^3.

So, 121x^6 - 100y^6 = (11x^3 - 10y^3)(11x^3 + 10y^3).

This is the simplest factored form of the given expression.

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