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If x-y=4 and x y=21 , find the value of ...

If `x-y=4` and `x y=21 ,` find the value of `x^3-y^3dot`

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To find the value of \( x^3 - y^3 \) given that \( x - y = 4 \) and \( xy = 21 \), we can use the algebraic identity for the difference of cubes. ### Step-by-Step Solution: 1. **Identify the Identity**: We know that: \[ x^3 - y^3 = (x - y)(x^2 + xy + y^2) ...
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