Python Consider algebra:   (N-1)2 = N2 - 2N + 1 Rearranged to get:   N2 = (N-1)2 + 2N - 1 This means: 52 = 42 + 2 * 5 - 1 but 42 = 32 + 2 * 4 - 1 but 32 = 22 + 2 * 3 - 1 etc. Create a function, square(n), that uses the equation above to calculate the square of an integer number recursively and returns the result. Consider 0 and positive integers first and get your function code to work. Enhance your code to handle negative integers also.

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Python

Consider algebra:   (N-1)2 = N2 - 2N + 1

Rearranged to get:   N2 = (N-1)2 + 2N - 1

This means:

52 = 42 + 2 * 5 - 1 but 42 = 32 + 2 * 4 - 1 but 32 = 22 + 2 * 3 - 1 etc.

Create a function, square(n), that uses the equation above to calculate the square of an integer number recursively and returns the result.

Consider 0 and positive integers first and get your function code to work. Enhance your code to handle negative integers also.

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