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  1. C

    Prove x^3 - y^3 = (x - y)(x^2 +xy + y^2)

    Here is a method that doesn't involve manipulating the right hand side, which is more I think of what we're looking for: Artificially create a factor (x - y) and add canceling terms at the end: x^3 - y^3 = (x - y)( x^2 ) + ( x - y )( y^2 ) + x^2 * y - y^2 * x With the final two terms...
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