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Find the positive integer n such that the expansion of (4x - 7y)^n contains a term of the form cx^2*y.

 Mar 19, 2023
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The answer is 3.

 

This is because if one term is in the form of an x^2, the lowest power needs to be 2. However, since we also have a y, we know the equation can't be a quadratic (think it through!), and therefore the only power sufficing this form would be 3.

 

Does that make sense?

 Mar 20, 2023

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